Question

9) x y
0 0
1 3
2 12
3 27

a.What type of function is this?
b.What is the value of x=5?

Answer 1

a.) as x increases by one, you multiply by the next multiple of 3 to get y. 1x3=3, 2x6=12, 3x9=27, etc.
b.) if x=5 then y=75

Answer 2

f(1) = 3 = 1x3
f(2) = 12 = 2x6
f(3) = 3x9

f(x) = x(3x) = 3x^2 ---> quadratic function
f(5) = 3(25) = 75

notice f(0) = 3(0^2) = 0 also fits