How do you determine if y= 5^(3 + 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=5^(3+2x)

and we substitute
x->-x

y=5^(3-2x)

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

y=5^(3+2)=5^5

and for x=-1

y=5^(3-2)=5^1=5.

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