Linear or Nonlinear?

Front

Is this graph linear or nonlinear?

Back

Linear

Front

A ____________ function creates a straight line and adds the same amount every time.

Back

Linear

Front

A _____________ function creates a graph that is curved.

Back

Nonlinear

Front

Is this equation representing a linear or nonlinear function? y = 2x - 6

Back

Linear

Front

Is this table representing a linear or nonlinear function?

Back

Nonlinear

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The rate of change of the function; how much y changes for a unit change in x.

Front

What is a characteristic of nonlinear functions?

Back

They do not have a constant rate of change and can curve or bend.

Front

Give an example of a nonlinear function.

Back

y = x^2 (a quadratic function).

Front

What is the difference between a linear and a nonlinear graph?

Back

Linear graphs are straight lines; nonlinear graphs are curves.