23 y 10 8 6 4 2 x ‒1 O 1 2 3 4 5 ‒2 ‒4 = + The graph of y f x 4 is shown. Which ^ h equation defines function f? = - +
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
= + Choice B is correct. The graph of y f^xh 4 is shown, and the graph passes 0,8 through the point ^ h. Substituting 0 for x and 8 for y in this equation yields 8= 0 +4 4= 0 f^ h . Subtracting 4 from both sides of this equation yields f^ h. = Therefore, when x 0, the value of f^xh is 4. Each of the given choices is in the =- x+ form f^xh 3 k, where k is a constant. Substituting 0 for x and 4 for f^xh in 4=-30+ 4=-1+ this equation yields k, or k. Adding 1 to both sides of this = =- x+ equation yields 5 k. Substituting 5 for k in the equation f^xh 3 k yields =-3 x+5 f^xh . 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. 40 SAT PRACTICE TEST #11 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1
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