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Some values of the linear function f are...


Some values of the linear function f are shown in the table above. What is the value of f (3) ?

A

6

B

7

C

8

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
. 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.
Choice A is incorrect. This is the third x-value in the table, not f(3). Choices C and D are incorrect and may result from errors when calculating the function’s rate of change.
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