Linear and Nonlinear Functions

Linear and Nonlinear Functions

Linear Functions...

• are straight lines on a graph.

Linear Functions...

have a constant rate of change.

Linear Functions...

• are represented by equations that do not have exponents, no absolute value signs, and variables in the numerator.

Nonlinear Functions...

• have curves or

• two or more lines with different slopes

Nonlinear Functions...

do NOT have a constant rate of change.

Nonlinear Functions...

• are represented by equations that have exponents, absolute value symbols, and fractions with variables in the denominator.

Multiple Choice

Is the graph linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the graph linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the graph linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the graph linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Which equation is a LINEAR function? Use your graphing tool if you do not know the answer using your parent function knowledge.

•  $y=3x^2-1$  

•  $y=2x+6$  

•  $y=\left|x\right|-4$  

•  $y=\frac{1}{5}x^3$  

Multiple Choice

Which equation is a NONLINEAR function? Use your graphing tool if you do not know the answer using your parent function knowledge.

•  $y=3x-1$  

•  $y=6$  

•  $y=\left|x\right|-4$  

•  $y=\frac{1}{5}x+5$  

Multiple Choice

Is this function below linear or nonlinear?

 $y=\frac{1}{\left(x+4\right)}$  

• Linear
  

• Nonlinear
  

Multiple Select

Which TWO functions are LINEAR?

• $y=5$

• $y=-\frac{2}{5}x-1$

• $y=\frac{2}{5}x^2$

• $y=\sqrt{x-5}$

Multiple Choice

Is this function below linear or nonlinear?

 $y=5$  

• Linear
  

• Nonlinear
  

Multiple Choice

Is the table Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the table Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the table Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the table Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the table Linear or Nonlinear?

• Linear

• Nonlinear