#### Question:

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

Posted By Admin @ September 03, 2022

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**

A

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

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

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

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