### Home > PC3 > Chapter 2 > Lesson 2.3.1 > Problem2-133

2-133.

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

1. $f(x)=3x^2+5x-1$

$f(-x)=3(-x)^2+5(-x)-1$

Simplify this function. Is it the same as the original function? If not, check $−f(x)$.

1. $g(x)=\frac{3}{x^2}+5x^4-1$

$-g(x)=-\frac{3}{x^2}-5x^4+1$

This function is not the same as the original function.
Check $g(−x)$.