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Advanced Math
/ Nonlinear functions
Difficulty: Hard
The function is defined by . What is the y-intercept of the graph of in the xy-plane?
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Explanation
Choice A is correct. The y-intercept of the graph of in the xy-plane occurs at the point on the graph where . In other words, when , the corresponding value of is the y-coordinate of the y-intercept. Substituting for in the given equation yields , which is equivalent to , or . Thus, when , the corresponding value of is . Therefore, the y-intercept of the graph of in the xy-plane is .
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. This could be the y-intercept for , not .