Need help asap thank you.

Question

A. Is the function f(x) = x² even, odd, or neither? Explain

 

B. Is the function g(x) = x³ even, odd, or neither? Explain

 

C. Is the function  even, odd, or neither? Explain

 

D. Is the function  even, odd, or neither? Explain

Answer 1

if f(-x)= f(x) so the function is even

if f(-x)= - f(x) so the function is odd

f(x)=x² is even because f(-x)=(-x)²=x²=f(x)

f(x)=x³ is odd because f(-x)=(-x)³= - x³= - f(x)

f(x)=√x is neither, because f( -x) neither equal to f(x) nor -f(x)

f(x)=³√x is odd f(-x)=(-x)^1/3= - x^1/3= - f(x)