Question

what type of function is represented in the table?
options:
quadratic
exponential
logarithmic
linear

Explanation:

Step1: Check first differences of y-values

Calculate the difference between consecutive y-values:
$-2 - (-7) = 5$
$3 - (-2) = 5$
$8 - 3 = 5$
$13 - 8 = 5$
$18 - 13 = 5$

Step2: Analyze the differences

All first differences are constant ($5$), which is the key characteristic of a linear function.

Answer:

linear