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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
The function is defined by . What is the x-intercept of the graph of in the xy-plane?
ExplanationShow
Choice D is correct. The given function is a linear function. Therefore, the graph of in the xy-plane has one x-intercept at the point , where is a constant. Substituting for and for in the given function yields . Adding to both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, the x-intercept of the graph of in the xy-plane is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
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