Question

Given the function f(x) = x 2 - 2x, find f(-1) and f(1). Based on your answers, determine if the function is even. Explain your reasoning.

Answer 1

Go in this order: 2, 5, 3

So it will look like: The function is f(x) = 2 (x - 5)^2 + 3.

Hope this helps, good luck :)

Answer 2

Neither Even nor Odd

Explanation:

We are given that

`f(x)=x^2-2x\\f(1)=1^2-2(1)\\=1-2\\=-1\\f(-1)=(-1)^2-2(-1)\\=1+2\\=3`

Hence f(-1) ≠ f(1)

And neither f(-1)=-f(1) nor f(-1)=f(1)

Hence it is neither an even function nor an odd function