Calculus Crossword

Type
Crossword
Description

The line that represents the slope at a certain point on a function tangentline
Derivative of csc x cscxcotx
When the y-value is less than or equal to all the other y-values in the function absolutemin
When the y-value is greater than or equal to all the other y-values in the function absolutemax
uv - ∫ vdu integrationbyparts
the maximum number of a certain object in a logistic equation carryingcapacity
when f'(x)>0, f(x) is ______ increasing
when f'(x)<0, f(x) is ______ decreasing
The test used to see is a number is a max, min, or neither candidatestest
If a quantity is changing it must be represented with a ______ variable
The test that can prove if a series diverges but not if it converges nthtermtest
A way of approximating a definite integral by adding up areas of rectangles riemannsum
If f is continous on [a,b] and differentiable on (a,b), then there is a number c in (a,b) such that f'(c) = f(b)-f(a)/b-a meanvaluetheorem
The graph changes concavity at this point point of inflection
The net change in position displacement
A sequence is _____ if it is nonincreasing/nondecreasing monotonic
dy/dx derivative

Algebra 1 EOC Vocabulary Crossword

Type
Crossword
Description

describes the slope of perpendicular lines opposite reciprocals
describes the slope of a line; steepness; incline rate of change
an equation that forms a straight line on the graph linear equation
y=x linear parent function
an inequality that involves a linear function linear inequality
a mathematical sentence that involves two values that are not necessarily equal inequality
> Greater than
< Less than
Any value or values that make an inequality true solution of an inequality
y=mx+b where m is slope and b is the y intercept slope intercept form
Ax+By=C standard form
y-y1=m(x-x1) for any point (x1, y1) point slope form
starting point; the b in a linear function. where x=0 y intercept
the point where the line crosses the x axis; when y=0 xintercept
the set of all the x values domain
the set of all the y values range
The x values; independent; domain input
the y values; dependent; range output
x, input independent variable
y, output dependent variable
the x intercept; when y=0 zero of a function
f(x)=y. y is a function of x function notation
a graph that is represented by a smooth line with no gaps continuous graph
a graph that is represented by set points; not connected discreet graph
a change that occurs on a graph transformation
slide; changing the y intercept translation
creates a mirror image of the graph over a given line or axis reflection
a relation in which each x value (input) has one and only one y value (output) function
a type of graph that uses set points to display information scatterplot
a scatter plot where the points all move in the upward direction positive correlation

Calc BC Cross Word Puzzle

Type
Crossword
Description

The highest point on a graph, especially over a specified domain. It is the greatest value of f(x) over a defined interval of x, provided y=f(x). ( f'(x)=0 , f''(x)<0 ) Absolute maximum
The lowest point on a graph, especially over a specified domain. It is the least value of f(x) over a defined interval of x, provided y=f(x). (f'(x)=0 , f''(x)>0 ) Absolute Minimum
A line (or curve) that a function approaches without actually reaching the line as the domain either grows unbounded or approaches a limit. Asymptote
when the sum of their expanded terms reaches a boundary or limit. convergence
Let f be defined at c. If f'(c)=0 or if f' is undefined at c, what is c? critical point
A function f has this at (c,f(c)). if f''(c)=0 or f''(c) does not exist and if f'' changes sign from positive to negative or negative to positive at x=c or if f'(x) changes from increasing to decreasing or decreasing to increasing at x=c inflection point
If an object moves along a straight line with position function s(t), then its this is v(t)=s'(t) velocity
If an object moves along a straight line with position function s(t), then its this is |v(t)| speed
If an object moves along a straight line with position function s(t), then its this is a(t)=v'(t)=s''(t) acceleration
s= ∫ sqrt(1+[f'(x)]^2) dx on the bounds of a to b. What is this formula for? arc length
If f is continuous on [a,b] and differentiable on (a,b), then there exists a number c on (a,b) such that f'(c)=(f(b)-f(a))/(b-a) Mean value theorem
If f is continuous on [a,b] and k is any number between f(a) and f(b), then there is at least one number c between a and b such that f(c)=k Intermediate value theorem
In a rational funcion, the graph appears to approach thee horizontal line y=c, as x approaching infinity or negative infinity. In this case, what is y=c? horizontal asymptote
In a rational function, this asymptote occurs when a factor remains in the denominator. vertical
In a rational function, this asymptote occurs when the power of x in the numerator is greater than the power of x in the denominator. slant
this of the function f(x) at x=a is defined as f'(a)= lim(h approaching to 0) (f(a+h)-f(a))/h derivative
The derivative using this rule is (d/dx)x^n=nx^(n-1) where n is any real number power rule
suppose that f and g are differentiable at x. then (d/dx)[f(x)g(x)]= f'(x)g(x)+f(x)g'(X). what is this rule's name? product rule
suppose that f and g are differentiable at x and g(x) is not equal to 0. Then (d/dx)[f(x)/g(x)]= (f'(x)g(x)-f(x)g'(x))/(g(x))^2. What's this rule's name? quotient rule
When f(x)>=g(x) on the interval [a,b], then the ? between these two curves in the given interval is ∫ [f(x)-g(x)]dx (bounded a to b) area
When V= ∫ pi[(outer radius)^2-(inner radius)^2]dx (bounded a to b) What method is this? Washer
S= 2pi∫ f(x){sqrt(1+[f'(x)]^2)} dx on the bounds of a to b. What is this formula for? surface area
A situation where population growth levels off and approaches a limiting number M ( the carrying capacity) because of limited resources is called this. logistic growth
graphical approach, also called 'direction fields'. Pick several points (x,y) and sketch a tiny segment with slope as specified by dy/dx. It shows the general shape of all solutions. slope fields
Numerical approximation to the solution to a differential equation. Arithmetic way of following the lines in a slope field. Use the point slope form to find an approximation value. Given an initial value, and an indicated step size, along with the DE, we can solve for the solution. What method is this? Euler's method
the process of finding the greatest or least value of a function for some constraint, which must be true regardless of the solution. This finds the most suitable value for a function within a given domain. Optimization
If the limit does not exist, we say that the improper integral ____. diverge
This coordinate system is a two-dimensional system where each point is represented as a distance r from the origin (sometimes called the pole) and an angle θ from the positive horizontal axis. polar
This series diverges if |r|>=1. If |r|<1, the series converges to the sum S=a/(1-r). _____ series. geometric
This series is a series whose terms are alternately positive and negative. ____ series. alternating

Type
Crossword
Description

the opposite of distributing factoring
b^2-4ac =0 one real solution
b^2-4ac>0 two real solutions
b^2-4ac<0 no real solution
roots, x-intercepts and solutions zeros
b^2 -4ac discriminant
Ax^2+Bx+C=0 Standard form
numbers that is multiplied by a variable coefficients
the shape of the graph of a quadratic function parabola
the peak in the curve vertex
where a<0 maximum
where a>0 minimum
when the discriminant is negative complex number
when the squared number is a negatve imaginary unit
where the parabola hits x-intercept
when Ax^2+Bx+C does not equal 0 quadratic function
cannot change in equation constant
line of symmetry of a parabola axis of symmetry

AP AB Calculus Vocabulary Crossword

Type
Crossword
Description

Slope of line tangent to point on graph of f(x). Derivative
Where f(x) is the biggest or smallest value for a while. Extremum
At a point of ____, the derivative's slope changes sign. Inflection
f(x) is ____ at point x=a if a derivative exists at point x=a. Differentiable
f(x) is ____ over a closed interval [a,b] if you can draw the graph without lifting your pen. Continuous
A function is ____ over an interval [a,b] if it is constantly increasing or constantly decreasing. Monotonic
For the ____ sum, the lowest value in each subinterval is chosen. Lower
For the ____ sum, the greater value in each subinterval is chosen. Upper
The net overall change in distance. Integral
You can isolate y on one side of the equation in ____ functions. Explicit
You cannot isolate y on one side of the equation in ____ functions. Implicit
In ____ intervals, the endpoints are not taken into consideration. Open
In ____ intervals, the endpoints are included. Closed
The ____ value theorum states that if a function is continuous over a closed interval [a, b], there is a maximum and a minumum value in that interval. Extreme
The ____ value theorum states that for a closed interval [a, b], is f(x) is continuous, it takes (at some point) every value between f(a) and f(b). Intermediate
In the ____ value theorum, there is some point c between points a and b such that the slope of the line tangent to c is equal to the slope of the secant between point a and b. Mean
____ maxima or minima are the biggest or smallest values in the whole graph. Absolute
____ maxima or minima are the biggest or smallest values in a certain range. Relative
x=c is a ____ value if the derivative of c is zero or undefined. critical

Calculus Crossword Puzzle

Type
Crossword
Description

It is the greatest value of f(x) over a defined interval of x, provided y=f(x). Absolute Maximum
It is the least value of f(x) over a defined interval of x, provided y=f(x). Absolute Minimum
The original function of a derivative. Anti-derivative
A line (or curve) that a function approaches without actually reaching the line. Asymptote
It is the second letter of the Greek alphabet. Beta
A basic rule in calculus to find the derivative of a composite function. Chain Rule
If a graph has no gaps, no holes, no steps, or discontinuities it is... Continuous
An integral between limits of integration is a... Definite Integral
It is the fourth letter of the Greek alphabet. Delta
It is the slope of the line tangent to a function. Derivative
A function that is continuous is... Differentiable
When a function is not continuous it has... Discontinuity
An integral with no limits of integration. Indefinite Integral
When a curve changes direction. Point of Inflection
Speed and direction is also... Velocity

Type
Crossword
Description

The number D = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. Discriminant
a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. squareroot
also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x) = 0. zero
the formula for determining theroots of a quadratic equation from its coefficients: . quadratic formula
value of a function is the place where the graph has a vertex at its lowest point minimum
the common point to join the two line segments vertex form
where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis x-intercept
an important process in algebra which is used to simplify expressions, simplify fractions, and solve equations. factoring
if you square any Real Number you always get a positive, or zero, result. For example 2×2=4, and (-2)×(-2)=4 as well imaginary unit
a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number constant
a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. standard form
the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0 quadratic equation
it "discriminates" between the possible solutions one real solution
6z means 6 times z, and "z" is a variable, so 6 coefficients
First, Outer, Inner, Last. First means multiply the terms which occur first in each binomia foil
a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals completing the square
In 8^2 the "2" says to use 8 twice in a multiplication, so 82 = 8 × 8 = 64. In words: 82 could be called "8 to the power 2" or "8 to the second power squared exponent
a quantity of the form v + iw, where v and w are real numbers complex number
a corner or a point where lines meet. vertex

Algebra 1 Crossword

Type
Crossword
Description

The set of the first numbers of the ordered pairs domain
Minus Subtraction
Please Excuse My Dear Aunt Sally orderofoperations
The ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) slope
A mathematical sentence that contains an equal sign equation
A relation between input and output FUNCTION
Symbol used to represent unknown numbers or values variable
The form of a linear equation Ax + By = C, with a graph that is a straight line standard
The set of second numbers of the ordered pairs range
To find the value of an expression evaluate
The vertical number line on a coordinate plane yaxis
A comparison of two numbers by division ratio
To draw or lot the oints named by certain numbers or ordered pairs on a number line or coordinate plane graph
The numbers that correspond to a point on a coordinate system coordinates
A point where the graph intersects an axis intercept
The horizontal number line on a coordinate plane xaxis
The point (0,0) origin
A polynomial with two terms binomial
Distance around the outside perimeter
To shift a graph vertically or horizontally translation

Calculus Crossword

Type
Crossword
Description

approaches a definite limit converges
point(s) at which the derivative equals zero critical
point of ______; curve changes concavity inflection
area under a curve integral
slope or rate of change of a function derivative
differentiation by separating variables implicit
increases to infinity diverges
sum of terms in a sequence series
list of numbers written in a specific order sequence
a curve that is uninterrupted continuous
method of finding volume using cylindrical layers shell
an equation of a curve in terms of r and Θ polar
a function that uses two equations to describe a curve parametric
highest or lowest point on the graph; ______ max/min absolute
method of finding volume by subtracting the volume of the outer solid minus the volume of the inner solid washer
a line or curve that a function approaches without ever reaching asymptote
the derivative of velocity acceleration
rule used to differentiate composite functions chain
rule to differentiate a function composed of a function divided by another function quotient
rule to differentiate a function that contains multiplication of two other functions product
series shown by harmonic
rule used to evaluate indefinite forms of limits lhopital
a value that a function approaches as an input approaches some value limit
integral of velocity position
test to determine convergence of a power series pseries
a vector of length one along an axis unit
the derivative of position velocity
approximation of the area of a function using rectangles under the curve riemann sum
theorem stating that a differentiable function that has equal values at point a and point b must have point c with a slope of zero rolles
theorem stating if f(x) is defined, continuous, and differentiable on interval [a,b], then there is a c such that a<c<b mean value
a line that touches a curve at a point without crossing it tangent
a straight line joining two points on a function's curve secant
a form of integration using the chain rule in reverse u substitution
a quantity with magnitude and direction vector
a series of a function represented as an infinite sum of terms taylor
a Taylor Series centered around zero maclaurin
how fast a function is increasing or decreasing slope
can be found using Disk/Washer/Shell methods volume

Precalculus Criss-Cross Puzzle Crossword

Type
Crossword
Description

any number that can be written in the form of a+bi complex number
a unit of angular measure equal to 1/180th of a straight angle degree
a relation that associates each value in the domain with exactly one value in the range funtion
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. logarithm
the Greek word for “measurement of triangles.” trigonometry
a central angle that intercepts an arc s equal in length to the radius r of the circle. radian
when a real number that can be written as a simple fraction rational
a value f(c) that is greater than or equal to all range values of f on some open interval containing c local maximum
for any two points in the interval a positive change in x results in a zero change in f(x) constant
a value that, when multiplied by itself, produces a specified quantity square root
An expression that can have constants, variables and exponents, that can be combined using addition, subtraction, multiplication and division polynomial
ax2 + bx + c = 0 quadratic formula
in the xy- plane defines y as a function of x if and only if no vertical line intersects the graph in more than one point vertical line test
A general term meaning "written down in the way most commonly accepted" standard form
A number made by squaring a whole number. perfect square
Interest calculated as a percent of the original loan simple interest
first, outside, inner, last FOIL
A line with a start point but no end point (it goes to infinity) ray
Opposite in effect inverse
hypotenuse/opposite cosecant
How far a number is from zero absolute value
a quantity representing the power to which a given number or expression is to be raised exponent
a positive change between size or quantity increase
this is formed by the intersection of a plane with two equal cones on opposites of the same vertex. hyperbola
Where interest is calculated on both the amount borrowed and any previous interest. compound interest

Type
Crossword
Description

one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. Quadratic Function
2. a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line Parabola
simplify expressions, simplify fractions, and solve equations Factoring
4. an equation containing a single variable of degree 2 quadratic equation
5. is a number used to multiply a variabl Coefficient
6. number is a value that, when multiplied by itself, gives the number Square root
7.a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit Complex number
8.the highest or lowest point, also known as the maximum or minimum of a parabola. Vertex
9.the point at which the graph of an equation crosses the x-axis. X-intercept
10. A line through a shape so that each side is a mirror image. Axis of symmetry
11. A mathematical expression that is the sum of three monomials Trinomial
12. An expression that has a square root, cube root, etc. Radical
13. one that when squared gives a negative result Imaginary Unit
14. where you change the sign in the middle of two terms Conjugates
15. a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number Constant
16.a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals Completing the square
17. another way of writing the equation of a line. Standard form
18. the value of a function at a certain point in its domain, which is greater than or equal to the values at all other points in the immediate vicinity of the point Maximum
19. the place where the graph has a vertex at its lowest point Minimum
20. members x of the domain of f such that f(x) vanishes at x Zeros