Linear and Non-Linear Functions

Linear and Non-Linear Functions

Linear Functions...

are straight lines on a graph

Linear Functions...

have a constant rate of change

Linear Functions...

are represented by equations that have:

* no exponents

* no absolute value signs

* fractions with variables only in the numerator

Non-Linear Functions...

have curves or

two or more different slopes

Non-Linear Functions...

do not have a constant rate of change

Nonlinear Functions...

are represented by equations that have:

* exponents

* absolute value signs

* fractions with variables in the denominator

Multiple Choice

Linear or Nonlinear?

• Linear

• Non-Linear

Multiple Choice

Linear or Nonlinear?

• Linear

• Non-Linear

Multiple Choice

Does the first table represent a linear or nonlinearn function?

• linear

• nonlinear

Multiple Choice

Linear or Nonlinear?

• Linear

• Nonlinear

Multiple Choice

 $\left|x\ +\ 5\right|\ =\ 43$  

• Linear

• Nonlinear

Multiple Choice

 $\frac{x}{5}\ -^{ }65\ =y$  

• Linear

• Nonlinear

Multiple Choice

 $y=x^4$  

• Linear

• Nonlinear

Multiple Choice

Linear or Nonlinear?

• Linear

• Non-Linear

Multiple Choice

 $y\ =\ 6x\ +\ 5$  

• Linear

• Nonlinear

Multiple Choice

 $y=\frac{6}{x^2}\$  

• Linear

• Nonlinear