6
QuizMultiple Choice

Symmetry — Quiz

Question 6 • Algebra II

Which statement best describes how to determine whether f of x is equal to 9 minus 4 x squared is an odd function?

Answer
A
Determine whether 9 minus 4 times negative x squared is equivalent to 9 minus 4 x squared .
B
Determine whether 9 minus 4 times negative x squared is equivalent to negative open paren 9 minus 4 x squared close paren .
C
Determine whether 9 minus 4 times open paren negative x squared close paren is equivalent to negative open paren 9 plus 4 x squared close paren .
D
Determine whether 9 minus 4 times open paren negative x squared close paren is equivalent to 9 plus 4 x squared .

Explanation

An odd function satisfies f(−x) = −f(x). For f(x) = 9 − 4x², substitute −x to get f(−x) = 9 − 4(−x)², and compare it with −f(x) = −(9 − 4x²). Thus, determine whether those two expressions are equivalent, as stated in choice B.

AI-written and checked against the verified answer.

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