Question

Which statement best describes how to determine whether f(x) = x² – X + 8 is an even function?

1. Determine whether -x²-(-x)+8 is equivalent to x²-x+8
2. Determine whether (x)²-x+8 is equivalent to x²-x+8
3. Determine whether -x²(-x)+8 is equivalent to -(x²-x+8)
4. Determine whether (-2)²-(-x)+8 is equivalent to -(x²-x+8)​

Answer 1

Option 1

Explanation:

You can tell if a function is even if
`f(-x)=f(x)`:

`f(x)=x^2-x+8`

`f(-x)=(-x)^2-(-x)+8`

`f(-x)=x^2+x+8`

Since
`f(-x)\\eq f(x)`, the function is not even. Therefore, option 1 is the best option.