Question

Kareem wants to write an equation for the data in the table below.

x
y
–3
one-eighth
–2
One-fourth

–1
One-half
0
1

What is the general form of the equation Kareem can use to represent the data?
y = m x + b
y = a b Superscript x
y = a x squared + b x + c
y = StartFraction k Over x EndFraction, where x not-equals 0

Answer 1

The values double each time x increases by 1 (1/8, 1/4, 1/2, 1), so the data is exponential. The correct form is y = a b^x. (In fact a = 1 and b = 2, so y = 2^x.)