SAT Nonlinear functions Practice Question 11 (Medium)

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Math · Advanced MathMedium

For the exponential function $f$ , $f(0) = 5$ and $f(1) = 15$ . What is the value of $f(3)$ ?

$35$

$45$

$75$

$135$

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Answer: D

An exponential function has the form $f(x) = a(b)^x$ . Since $f(0) = 5$ , $a = 5$ . Since $f(1) = 5b = 15$ , $b = 3$ . Then $f(3) = 5(3)^3 = 5(27) = 135$ .

Choice A continues the pattern by adding 10 each time, which is linear growth, not exponential.

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