The function f is defined by f x = 1 10 x - 2 . What is the y -intercept

Question

The function f is defined by f x = 1 10 x - 2 . What is the y -intercept of the graph of y = f x in the xy -plane?

Accepted Answer

Choice B is correct. The y -intercept of the graph of a function in the xy -plane is the point on the graph where x = 0 . It&prime;s given that f x = 1 10 x - 2 . Substituting 0 for x in this equation yields f 0 = 1 10 0 - 2 , or f 0 = - 2 . Since it&prime;s given that y = f x , it follows that y = - 2 when x = 0 . Therefore, the y -intercept of the graph of y = f x in the xy -plane is 0 , - 2 . Choice A 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.

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