4.4 Linear versus Nonlinear Functions

4.4 Linear versus Nonlinear Functions

What's the difference?

Linear vs. Nonlinear

• Linear functions shows a constant rate of change.

• Nonlinear functions do not have a constant rate of change.

From a Graph

• When graphed, a linear function forms a single straight line.

• When graphed, a nonlinear function does not form a single straight line.

Multiple Choice

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

Determine if the graph is linear or nonlinear.

• Linear

• Nonlinear

Multiple Choice

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

From a Table

A linear function has a constant rate of change in y to the change un x is constant (the same).

Multiple Choice

The table represents a function. Is it linear or non-linear?

• Linear

• Nonlinear

Multiple Choice

Is the table linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

From an Equation

• Can be written in the form y=mx+b (m and b are numbers)

• Can be written in the form of y=mx (m is a number & y-intercept is the origin)

• Can be written in the form y=b (b is a number & slope is zero, not undefined)

• We will use desmos.com/calculator to determine whether an equation is linear or nonlinear

Multiple Choice

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the function linear or nonlinear?

y = 2/x + 3

• Linear

• Nonlinear

Multiple Choice

LINEAR or NONLINEAR?

y = 7x³ + 5

• linear

• nonlinear

Multiple Choice

LINEAR or NONLINEAR?

y = 4x + 6

• linear

• nonlinear