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Advanced Math / Nonlinear functions Difficulty: Medium

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?

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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)=11ยท1, 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.