Question

PLEASE HELP ME ASAP TYSM IF YOU DO!!! It says: identify each function is linear or nonlinear.

Answer 1

Answer:

  a, b – linear

  c – nonlinear

Step-by-step explanation:

When classifying a function from its table, you generally are looking at the way y changes when x changes. When the x-values are evenly-spaced, as they are here, then it is much easier to identify the function type from the y-values.

For evenly-spaced x-values ...

  y-values have a common difference: linear function

  y-values have changing differences: non-linear

     y-values have a common ratio: exponential function

     y-values have common "second differences": quadratic

__

a) Differences of y-values are ...

  11 -14 = -3, 8 -11 = -3, 5 -8 = -3 . . . linear function

b) Differences of y-values are ...

  -1 -(-3) = 2, 1 -(-1) = 2, 3 -1 = 2 . . . linear function

c) Differences of y-values are ...

  3 -5 = -2, 1 -3 = -2, 3 -1 = 2 . . . nonlinear function