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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)​

Respuesta :

Answer:

Option 1

Step-by-step explanation:

You can tell if a function is even if [tex]f(-x)=f(x)[/tex]:

[tex]f(x)=x^2-x+8[/tex]

[tex]f(-x)=(-x)^2-(-x)+8[/tex]

[tex]f(-x)=x^2+x+8[/tex]

Since [tex]f(-x)\neq f(x)[/tex], the function is not even. Therefore, option 1 is the best option.

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