Question

1. is this function linear, quadratic, or exponential?

linear quadratic exponential

Explanation:

Step1: Check x-value differences

$\Delta x = 2-1=1,\ 3-2=1,\ 4-3=1,\ 5-4=1$ (constant)

Step2: Check y-value first differences

$\Delta y_1 = -15-(-5)=-10,\ \Delta y_2=-25-(-15)=-10,\ \Delta y_3=-35-(-25)=-10,\ \Delta y_4=-45-(-35)=-10$ (constant)

Step3: Classify the function

Constant first differences mean linear.

Answer:

linear