The function f is defined by f ( x ) = 7 x - 84 . What is the x

Question

The function f is defined by f ( x ) = 7 x - 84 . What is the x -intercept of the graph of y = f ( x ) in the xy -plane?

Accepted Answer

Choice D is correct. The given function f is a linear function. Therefore, the graph of y = f x in the xy -plane has one x -intercept at the point k , 0 , where k is a constant. Substituting 0 for f x and k for x in the given function yields 0 = 7 k - 84 . Adding 84 to both sides of this equation yields 84 = 7 k . Dividing both sides of this equation by 7 yields 12 = k . Therefore, the x -intercept of the graph of y = f x in the xy -plane is 12 , 0 . 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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