Question the-fu

1.1 Linear Functions - Graphs in slope-intercept, point-slope, standard form
0:00

The function f is defined by f(x)=3x-8. What is the value of f7?

A.

29

B.

13

C.

-5

D.

-29

The function f is defined by f ( x ) = 3 x - 8 .

Medium-difficulty · SAT Math · Linear Functions — Graphs in slope-intercept, point-slope, standard form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. It’s given that the function f is defined by fx=3x-8. The value of f7 is the value of fx when x = 7 . Substituting 7 for x in the given equation yields f7=37-8, which is equivalent to f7=21-8, or f7=13.

Choice A is incorrect. This is the value of f7 when fx=3x+8, rather than fx=3x-8.

Choice C is incorrect. This is the value of f1, rather than f7.

Choice D is incorrect. This is the value of f-7, rather than f7.