# Is the function #f(x) = 13x^4 – 2x^3 + 7x# even, odd or neither?

##### 2 Answers

Since it is equal to neither, this function is neither odd or even

#### Explanation:

Perform a test:

For even functions:

For odd functions:

Negate the

Is this equal to:

Since it is equal to neither, this function is neither odd or even

neither

#### Explanation:

Given:

If a function is even, it is symmetric about the

If a function is odd, it is symmetric about origin

Assuming we don't have access to a graphing calculator, let's **test for even #f(-x) = f(x):**

original function:

Replace

**Not an even function**

**Test for an odd function, #f(-x) = -f(x)#:**

original function:

Replace