y ' 16 I 14 12 10 \ $ \~,4,2 V ' X _ z_ _6 _ 8-.=6-.=4-.=2_~ /4- \8- >-, 4,.,,, I/ 6_I'- 8 19 I 12 I 1~ I. 16 y = f(x) The graph of is shown, where the f(x) = ax^3 +bx^2 +cx+d function f is defined by and a, b, c, and d are constants. For how many f(x) = 0 values of x does?
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
= = Choice C is correct. If a value of x satisfies f^xh 0, the graph of y f^xh will ,0 contain a point ^x h and thus touch the x-axis. Since there are 3 points at which = this graph touches the x-axis, there are 3 values of x for which f^xh 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 D is incorrect and may result from conceptual or calculation errors.
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