Question

Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5 What conclusion can she reach? f(x) is even f(x) is odd f(x) is neither f(x) is both even and odd

Answer 1

Answer:

f(x) is neither even nor odd.

Step-by-step explanation:

For a function to be even f(x) = f(-x)  and  her results show that this is not the case.

For an odd function  -f(x) = f(-x) so we test this:

-f(x) =  -x^2 - 2x - 5 ; f(-x) =  x^2 - 2x + 5  -  so it is not odd.