5
QuizMultiple Choice

Symmetry — Unit test

Question 5 • 26/27 ALGEBRA II A

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

Answer
A
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
B
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
C
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
D
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).

Explanation

To test whether a function is even, substitute −x for x and check whether f(−x) = f(x). Here, f(−x) = (−x)² − (−x) + 8, so compare that expression with x² − x + 8. This is the method stated in choice B.

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