Question

Determine (algebraically) if the given function is EVEN or ODD show your work.
f(x)= -13x^2+15

Answer 1

Answer: Even

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Step-by-step explanation:

`f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\`

Each term of the polynomial function has an exponent which is an even number, therefore the function is even.

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Another approach:

`f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\`

Since f(x) = f(-x) for all x, this proves the function is even.