CAN I GET HELP WITH PARENT FUNCTIONS?

Question

MY PROBLEM READS

THE SET OF ORDERED PAIRS BELOW REPRESENTS SOME POINTS ON THE GRAPH OF FUNCTION F

{(3,11), (-1,3), (5,15), (-4,-3), (-7,-9)}

WHAT IS THE PARENT FUNCTION OF F?

A. Y=X

B. Y=2^X

C. Y=X²

D. √X

Answer 1

Carefully graph the points and you will see they seem to lie on a straight line.

 

To prove it, find slopes between adjacent points in the list; if they all are the same, then it's a line.

 

(3,11)

(-1,3): (11-3)/(3- -1)=8/4=2

(5,15): (15-3)/(5- -1)=12/6=2

(-4,-3): (15- -3)/(5- -4)=18/9=2

(-7,-9): (-3- -9)/(-4- -7)=6/3=2

 

Slopes are all equal so function f is linear and its graph is a straight line.

 

So answer is A.