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Linear Functions

SAT Math· difficulty 5/5

Let f(x)=ax+bf(x) = ax + b. If f(2)−f(−1)=9f(2) - f(-1) = 9 and f(0)=4f(0) = 4, what is a⋅ba \cdot b?

  • A

    88

  • B

    2020

  • C

    1616

  • D

    1212

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Explanation

f(2)−f(−1)=3a=9⇒a=3f(2) - f(-1) = 3a = 9 \Rightarrow a = 3. f(0)=b=4f(0) = b = 4. a⋅b=12a \cdot b = 12.

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