Determine if the function is even, odd, or neither.
-$$f ( x ) = ( x + 5 ) ( x + 8 )$$
A) Even
B) Odd
C) Neither

Question

Quizplus · Accepted Answer

To check if a function is even or odd, we need to look at whether it satisfies the following properties:

1. Even functions: f(-x) = f(x) for all x.
2. Odd functions: f(-x) = -f(x) for all x.

Let's test the function:

f(-x) = (-x + 5)(-x + 8) = x^2 - 3x - 40

f(x) = (x + 5)(x + 8) = x^2 + 13x + 40

Since f(-x) is not equal to f(x) or -f(x), we can say that the function is neither even nor odd.

Determine If the Function Is Even, Odd, or Neither f(x)=(x+5)(x+8)f ( x ) = ( x + 5 ) ( x + 8 )f(x)=(x+5)(x+8)