Question

Jamal drew the function below. Which of the following explains whether or not his function is linear? 1) The function is linear because it has a constant rate of change 2) The function is not linear because it has an exponent 3) The function is not linear because it has a discontinuity 4) The function is linear because it has a y-intercept

Answer 1

1) a constant rate of change means a constant slope, which is characteristic of a linear function.

however...

2) linear functions do have the exponent of
`x^1`

3) piecewise linear functions are sometimes discontinuous

4) many functions have y-intercepts