CPM Homework Help : PC3 Problem 2-133

Algebraically determine if each of the following functions is even, odd, or neither. Verify your answers graphically.

$f(x)=3x^2+5x-1$
Step (a):
$f(-x)=3(-x)^2+5(-x)-1$
Simplify this function. Is it the same as the original function? If not, check $−f(x)$ .

$g(x)=\frac{3}{x^2}+5x^4-1$
Step (b):
$-g(x)=-\frac{3}{x^2}-5x^4+1$
This function is not the same as the original function.
Check $g(−x)$ .