MATH SOLVE

2 months ago

Q:
# Determine whether the function f(x)=4x^3 is even or odd

Accepted Solution

A:

Answer:f(x) is an odd functionStep-by-step explanation:Determine whether the function f(x)=4x^3 is even or odd[tex]f(x)= 4x^3[/tex]To check whether f(x) is even then f(-x)= f(x)To check whether f(x) is odd then f(-x)=-f(x)Plug in x with -x and check whether it is odd or even[tex]f(x)= 4x^3[/tex][tex]f(-x)= 4(-x)^3=-4x^3[/tex]f(-x) is not equal to f(x). So f(x) is not an even function[tex]f(x)= 4x^3[/tex][tex]f(-x)= 4(-x)^3=-4x^3[/tex]f(-x) =-f(x)So it is an odd function