Question

aa.4 identify linear, quadratic, and exponential functions from tables
is this function linear, quadratic, or exponential?
x | y
-7 | 14.5
-6 | 11.5
-5 | 8.5
-4 | 5.5
-3 | 2.5
linear
quadratic
exponential

Explanation:

Step1: Check x-value differences

The x-values increase by a constant: $-6 - (-7) = 1$, $-5 - (-6) = 1$, $-4 - (-5) = 1$, $-3 - (-4) = 1$

Step2: Check first y-differences

Calculate changes in y: $11.5 - 14.5 = -3$, $8.5 - 11.5 = -3$, $5.5 - 8.5 = -3$, $2.5 - 5.5 = -3$

Step3: Classify the function

Linear functions have constant first differences.

Answer:

linear