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Nonlinear functions SAT question

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

The function $f$ is defined by $f (x) = 5 x^{2}$ . What is the value of $f (8)$ ?

ExplanationShow

Choice D is correct. It's given that the function $f$ is defined by $f (x) = 5 x^{2}$ . Substituting $8$ for $x$ in $f (x) = 5 x^{2}$ yields $f (8) = 5 (8)^{2}$ , which is equivalent to $f (8) = 5 (64)$ , or $f (8) = 320$ . Therefore, the value of $f (8)$ is $320$ .

Choice A is incorrect. This is the value of $f (8)$ if $f (x) = 5 x$ .

Choice B is incorrect. This is the value of $f (8)$ if $f (x) = 5 (x + 2)$ .

Choice C is incorrect. This is the value of $f (8)$ if $f (x) = (5 x) (2)$ .

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