Question

The ordered pairs (1,36), (2,49), (3,64), and (5,100) represent a function. What is a rule that represents this function?

A: y=x^2
B: y=36x
C: y=(x+5)^2
D: y=(x+6)^2

Answer 1

see that 36=6^2,49=7^2,64=8^2,100=10^2

Answer 2

for x=1, f(x)=36=6^2=(1+5)^2
for x=2,f(x)=49=7^2=(2+5)^2
for x=3,f(x)=64=8^2=(3+5)^2
for x=5,f(x)=100=10^2=(5+5)^2

Answer 3

so the general form is f(x)=(x+5)^2