Question

is this function linear, quadratic, or exponential?

Explanation:

Step1: Check linearity (constant Δy)

Calculate differences between consecutive y-values:
$0.76 - 0.38 = 0.38$
$1.52 - 0.76 = 0.76$
$3.04 - 1.52 = 1.52$
$6.08 - 3.04 = 3.04$
Differences are not constant, so not linear.

Step2: Check exponential (constant ratio)

Calculate ratios of consecutive y-values:
$\frac{0.76}{0.38} = 2$
$\frac{1.52}{0.76} = 2$
$\frac{3.04}{1.52} = 2$
$\frac{6.08}{3.04} = 2$
Ratios are constant (equal to 2), so this is exponential.

Answer:

The function is exponential.