the table shows a function. is the function linear or nonlinear?
the table shows a function. is the function linear or nonlinear?
Answer
Explanation:
Step1: Calculate the change in (x)
The change in (x) values: (16 - 15=1), (17 - 16 = 1). The change in (x) is constant ((\Delta x=1)).
Step2: Calculate the change in (y)
The change in (y) values: (6 - 11=-5), (0 - 6=-6). The change in (y) ((\Delta y)) is not constant ((-5\neq -6)).
Step3: Check the slope
For a linear function, the slope (m=\frac{\Delta y}{\Delta x}) should be constant. Since (\frac{6 - 11}{16 - 15}=-5) and (\frac{0 - 6}{17 - 16}=-6), slopes are not equal.
Answer:
nonlinear