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The function f is defined by f(x) = 7x−84. What is = the x-intercept of the graph of y f(x) in the xy-plane? (−12,0)
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. The given function f is a linear function. Therefore, the graph = ,0 of y f^xh in the xy-plane has one x-intercept at the point ^k h, where k is a constant. Substituting 0 for f^xh and k for x in the given function yields 0=7 -84 84 84=7 k . Adding to both sides of this equation yields k. Dividing 12= both sides of this equation by 7 yields k. Therefore, the x-intercept of the = 12,0 graph of y f^xh in the xy-plane is ^ h. 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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