PRE-CAL CROSSWORD PUZZLE
This printable crossword puzzle on the topic of Calculus & Pre-Calculus has 25 clues. Answers range from 4 to 22 letters long. This crossword is also available to download as a Microsoft Word document or a PDF.
Description
Mathematical - Algebraic (variables) Numerical (numbers) Graphical (visible representations of algebraic, numerical models)
A product of real numbers is zero if a factor in the product is zero
Solution of an equation
y = f(x)
domain of an algebraic expression
a domain that fits the situation (agreement)
graph with no breaks f(x) values will be close to f(a) values where a is any real number
graph which is continuous everywhere aside from a hole when x equals any real number, a. f(x) values may not be close to f(a), whether it exists or not
graph has a 'jump' at x = a in the function values, making it impossible to plug with a single point (a, f(a)) no matter how f(a) is defined
graph has a gap at x = a which cannot be removed through plugging in points
a function that has lim (x→a) f(x) = f(a)
a function that is not continuous at x = a
a function that on an interval, for any two points on that interval, a POSITIVE change in x results in a POSITIVE change in f(x)
a function that on an interval, for any two points on that interval, a POSITIVE change in x results in a NEGATIVE change in f(x)
a function that on an interval, for any two points in the interval, a POSITIVE change in x results in NO CHANGE in f(x)
property of a function that has a number b that is less than or equal to every number in the range of f
a number b which is less than or equal to all numbers in the range of f
another way to say local extrema
function is symmetric with respect to the x or y-axis f(-x) = f(x) typically when (x∧n, n even)
in limit notation x→a− (x approaches a from left) x→a+ (x approaches a from right)
the line y = b of function y = f(x) if f(x) approaches a limit of b as x approaches +∞ or -∞ lim (x→±∞) f(x) = b
the line x = a of function y = f(x) if f(x) approaches a limit of +∞ or -∞ as x approaches a from either direction lim (x→a-) = ±∞ or lim (x→a+) = ±∞
when x values become larger and start following asymptotes, this determines which lines each graph follows to ±∞
One part (3x2)
(x+h)^( 2)+ (y-k)^2= r^2
