Question

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)

Answer 1

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`