Question

2. Some values of the linear function f are shown in the table below. What is the value

of f(3)?

A. 9
B. 8
C. 6
D. 7

Answer 1

Answer: The correct Answer is D

Step-by-step explanation: A linear function has a constant rate of change, and any two rows of the shown table can be used to calculate this rate. From the first row to the second, the value of x is increased by 2 and the value of f(x) is increased by 6 = 4 − (−2). So the values of f(x) increase by 3 for every increase by 1 in the value of x. Since f(2) = 4, it follows that f(2 + 1) = 4 + 3 = 7. Therefore, f(3) = 7.

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