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

f(-1) = 3

f(1) = -1

Explanation:

f(x) = x^2- 2x; substitute the value into x

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

f(1) =
`x^(2)` - 2x =
`(1)^(2)` - 2(1) = 1 - 2 = -1