the table shows a function. is the function linear or nonlinear?\nlinear nonlinear

Answer:

nonlinear

Explanation:

Step1: Calculate the rate of change (slope) between the first two points

The formula for slope (m=\frac{y_2 - y_1}{x_2 - x_1}). For ((x_1,y_1)=(13,3)) and ((x_2,y_2)=(14,5)), (m_1=\frac{5 - 3}{14 - 13}=\frac{2}{1} = 2)

Step2: Calculate the rate of change (slope) between the second and third points

For ((x_2,y_2)=(14,5)) and ((x_3,y_3)=(15,8)), (m_2=\frac{8 - 5}{15 - 14}=\frac{3}{1}=3)

Step3: Check if slopes are equal

Since (m_1 = 2\neq m_2=3), the function is nonlinear.