4
QuizMultiple Choice

Symmetry

Question 4 • 26/27 ALGEBRA II A

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Answer
A
Determine whether 9 – 4(–x)2 is equivalent to 9 – 4x2.
B
Determine whether 9 – 4(–x2) is equivalent to 9 + 4x2.
C
Determine whether 9 – 4(–x)2 is equivalent to –(9 – 4x2).
D
Determine whether 9 – 4(–x2) is equivalent to –(9 + 4x2).

Explanation

To test whether a function is odd, determine whether f(−x) = −f(x). Substituting −x into f gives f(−x) = 9 − 4(−x)², which should be compared with −(9 − 4x²). Therefore, the statement in choice C describes the correct test.

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