Determine if the function is an even function, an odd function or neither. y=-5x^ (2) - 2x+6

By definition we have:

A function is even if, for each x in the domain of f, f ( - x) = f (x). The even functions have reflective symmetry through the y-axis.

A function is odd if, for each x in the domain of f, f ( - x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.

For y = - 5x ^ (2) - 2x + 6 we have:

f (-x) = - 5 (-x) ^ (2) - 2 (-x) + 6

f (-x) = - 5x ^ (2) + 2x + 6

Answer:

the function is neither