How do you determine if y=53+2x is an even or odd function?

1 Answer
Jun 21, 2016

This function is not even and is not odd.

Explanation:

by definition, an even function is a function that does not change if instead of x we use x. An odd function changes the sign when x is swapped with x.

Then let's try

y=53+2x

and we substitute
xx

y=532x

The two functions are clearly different.
For example, when x=1 we have

y=53+2=55

and for x=1

y=532=51=5.

The function does not stay unchanged neither it swaps the sign.
The function is not even and is not odd.