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?

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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’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’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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