Question g-x-11

1.1 Linear Functions - Graphs in slope-intercept, point-slope, standard form
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gx=11x+4

For the given linear function g , which table shows three values of x and their corresponding values of gx?

A.
B.
C.
D.

g x = 11 x + 4 For the given linear function g , which table

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 C is correct. Each of the tables shows the same three values of x : - 1 , 0 , and 1 . Substituting - 1 for x in the given function yields g(-1)=11(-1)+4, or g-1=-7. Therefore, when x=-1, the corresponding value of g(x) is - 7 . Substituting 0 for x in the given function yields g(0)=11(0)+4, or g(0)=4. Therefore, when x=0, the corresponding value of g(x) is 4 . Substituting 1 for x in the given function yields g(1)=11(1)+4, or g(1)=15. Therefore, when x=1, the corresponding value of g(x) is 15 . The table in choice C shows - 7 , 4 , and 15 as the corresponding value of g(x) for x-values of - 1 , 0 , and 1 , respectively. Therefore, the table in choice C shows three values of x and their corresponding values of g(x).

Choice A is incorrect. This table shows three values of x and their corresponding values of g(x) for the linear function g(x)=4x+11.

Choice B is incorrect. This table shows three values of x and their corresponding values of g(x) for the linear function g(x)=4x.

Choice D is incorrect. This table shows three values of x and their corresponding values of g(x) for the linear function g(x)=11x.