Question

12/22
x 1 2 3 4
y 5 7 9 11
is function represented by the table linear or nonlinear?
linear
nonlinear

Explanation:

Step1: Calculate x differences

$\Delta x_1=2-1=1$, $\Delta x_2=3-2=1$, $\Delta x_3=4-3=1$

Step2: Calculate y differences

$\Delta y_1=7-5=2$, $\Delta y_2=9-7=2$, $\Delta y_3=11-9=2$

Step3: Check constant rate of change

$\frac{\Delta y_1}{\Delta x_1}=\frac{2}{1}=2$, $\frac{\Delta y_2}{\Delta x_2}=\frac{2}{1}=2$, $\frac{\Delta y_3}{\Delta x_3}=\frac{2}{1}=2$

Answer:

linear