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Nonlinear functions SAT question

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

The function $f$ is defined by $f (x) = x^{3} + 15$ . What is the value of $f (2)$ ?

ExplanationShow

Choice C is correct. The value of $f (2)$ is the value of $f (x)$ when $x = 2$ . Substituting $2$ for $x$ in the given function yields $f (2) = (2)^{3} + 15$ , or $f (2) = 8 + 15$ , which is equivalent to $f (2) = 23$ . Therefore, the value of $f (2)$ is $23$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the value of $f (2)$ when $f (x) = x (3) + 15$ , rather than $f (x) = x^{3} + 15$ .

Choice D is incorrect and may result from conceptual or calculation errors.

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