If f(x)=(x^(m)+9)^(2), which statement about f(x) is true? f(x) is an even furiction 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.

vaixellause

vaixellause

Answered question

2022-12-18

If f(x)=(x^(m)+9)^(2), which statement about f(x) is true?
f(x) is an even furiction 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.

Answer & Explanation

Itzel Holt

Itzel Holt

Beginner2022-12-19Added 2 answers

f ( x ) = ( x m + 9 ) 2 = ( ( 1 ) m x m + 9 ) 2 ( 1 ) m = 1 f ( x ) = ( x m + 9 ) 2 f ( x ) = f ( x )
Therefore, this function is an even function for all even values of m

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