Question g-x-11

1.3 Linear Equations in Two Variables - Intercepts and slope applications
0:00

gx=11 1 12 x

If the given function g is graphed in the xy-plane, where y=gx, what is the y-intercept of the graph?

A.

0,132

B.

0,1

C.

0,12

D.

0,11

g x = 11 1 12 x If the given function g is graphed in the

Medium-difficulty · SAT Math · Linear Equations in Two Variables — Intercepts and slope applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. The x-coordinate of any y-intercept of a graph is 0 . Substituting 0 for x in the given equation yields g0=111120. Since any nonzero number raised to the 0th power is 1 , this gives g(0)=11/mo>1, or g(0)=11. The y-intercept of the graph is, therefore, the point 0,11.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.