Pre-Cal Even and Odd Functions Practice Unit 3 Lesson 2

Determine algebraically whether or not the function, f(x)=3x^2/1-x^4, is even or odd, and justify your answer.

The function is even because f(-x)=f(x)

Which statement describes the function f(x)=|x^4-x^3|

The function is neither even nor odd.

Fresnel integrals are functions that describe how light bends and are often used in the design of highways, railroads, and roller coasters. The graph shown is an approximation of the Fresnel integral. Use the graph to determine which of the following statements about the function is true.

The function is odd

(-3,-5)

The graph is an even function contains the point (3,-5). Which point must also be on the graph of the function?

Which statement describes the graph of an odd function?

The graph is symmetric about the origin.

Which of the following functions is even?

f(x)=-x^2/x^4-25

Which of the following functions are odd? Select all that apply.

f(x)=x^2+1/x; f(x)=-1/x^3; f(x)=4x^5