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=^- −8 2^~ +22 The function f^-^-^- is defined by f ( x) ()()^x. = What is the y-intercept of the graph of y f(x) in the xy-plane? (0,14)
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
= Choice A is correct. The y-intercept of the graph of y f^xh in the xy-plane = = occurs at the point on the graph where x 0. In other words, when x 0, the corresponding value of f^xh is the y-coordinate of the y-intercept. Substituting 0 0 = -8 2 0+22 for x in the given equation yields f^ h ^ h^ h , which is equivalent to 0 = -8 1 +22 0 =14 = f^ h ^ h^ h , or f^ h . Thus, when x 0, the corresponding value of 14 = f^xh is . Therefore, the y-intercept of the graph of y f^xh in the xy-plane is 0,14 ^ h. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. = -8 2 x Choice D is incorrect. This could be the y-intercept for f^xh ^ h^ h , not = -8 2 x+22 f^xh ^ h^ h .
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