Determine if the function is an even function, an odd function or neither. > = −6x² – 5x² −2 even neither odd

Question

asked Oct 5, 2023 177k views

1 Answer

Priidu Neemre · Answer 1 · 2023-10-09T13:17:54+0000

Answer: even

Explanation:

A function is even if f(x)=f(-x), and odd if f(x)=-f(-x). If a function satisfies neither of these, it is neither even nor odd.

$f(x)_=-6x^(2)-5x^(2)-2=-11x^(2)-2\\\\f(-x)=-11(-x)^(2)-2=-11x^(2)-2\\\\\therefore f(x)=f(-x)$

Therefore, the function is even.