Symmetry Answers

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

Determine whether 9 – 4(–x)2 is equivalent to 9 – 4x2.

Determine whether 9 – 4(–x2) is equivalent to 9 + 4x2.

Determine whether 9 – 4(–x)2 is equivalent to –(9 – 4x2).

Determine whether 9 – 4(–x2) is equivalent to –(9 + 4x2).

Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?

Determine whether –(x3 + 5x + 1) is equivalent to x3 + 5x + 1.

Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.

Determine whether –x3 + 5x + 1 is equivalent to –(x3 + 5x + 1).

Determine whether (–x)3 + 5(–x) + 1 is equivalent to –(x3 + 5x + 1).

If f(x) = (xm + 9)2, which statement about f(x) is true?

f(x) is an even function for all values of m.

f(x) is an even function for all even values of m.

f(x) is an odd function for all values of m.

f(x) is an odd function for all odd values of m.

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