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Nonlinear functions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

The function $f$ is defined by $f (x) = x^{3} + 9$ . What is the value of $f (2)$ ?

ExplanationShow

Choice C is correct. It's given that $f (x) = x^{3} + 9$ . Substituting $2$ for $x$ in this equation yields $f (2) = (2)^{3} + 9$ . This is equivalent to $f (2) = 8 + 9$ , or $f (2) = 17$ .

Choice A is incorrect. This is the value of $2 + 3 + 9$ , not $2^{3} + 9$ .

Choice B is incorrect. This is the value of $2 (3) + 9$ , not $2^{3} + 9$ .

Choice D is incorrect. This is the value of $3^{2} + 9$ , not $2^{3} + 9$ .

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