Question

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

Answer 1

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.