Question

Graph the identity of the parent function. (-2,8),(-1,1),(0,0),(1,-1),(2,-8)

A. f(x)=x²
B. f(x)=x⁴
C. f(x)=x³
D. f(x)=x

Answer 1

The identity of the parent function that results to the coordinates is

f(x) = (-x)³

How to determine the function

The graph of a cubic function exhibits some characteristic features. This feature when matched with coordinates gives insight on the function. The graph helped to confirm the function.

This can be solved mathematically as follows

for x = -2, y = (-(-2))³ = 8

for x = -1, y = (-(-1))³ = 1

for x = 0, y = (-(0))³ = 0

for x = 1, y = (-(1))³ = -1

for x = 2, y = (-(2))³ = -8