Integer Power Functions - Concept

Concept Concept (1)

Power functions are functions where y = x^n where "n" is any real constant number. When "n" is a positive integer, we have two possible scenarios of an integer power function. When "n" is odd, the function passes through the origin, (1,1) and (-1,-1). Also, as the exponent increases, the function becomes steeper. When "n" is even, the function passes through the origin, (1,1) and (-1,1). These functions are symmetric about the origin.

Sample Sample Problems (3)

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Integer Power Functions - Problem 1
Problem 1
How we graph a transformation of the even power function y = x^4.
Integer Power Functions - Problem 2
Problem 2
How we graph a transformation of the odd power function y = x^5.
Integer Power Functions - Problem 3
Problem 3
How we graph a transformation of the odd power function y = x^3.