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This set of points is on the graph of a function.{(−3,9),(−1,1),(0,0),(2,4)}Which points are on the graph of the inverse?Select each correct answer.(−9,3)(0,0)(4,2)(1,−1)

User Jacq
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1 Answer

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20 votes

The points on the graph of the function are given to be


\mleft\lbrace(-3,9),(-1,1),(0,0),(2,4)\mright\rbrace

A function is mapped as


f\colon x\rightarrow y

The points of the function are in the form (x, y)

Therefore, by definition, the inverse of the function will be mapped as


f^(\prime)\colon y\rightarrow x

The points of the inverse will be in the form (y, x)

Hence, from the given points the inverse will be


\mleft\lbrace(9,-3),(1,-1),(0,0),(4,2)\mright\rbrace

Therefore from the options, the correct answers are


\lbrace(1,-1),(0,0),(4,2)\rbrace

User Rob Winch
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