Linear Functions

Notes 3.3 Linear Functions

Learning Target: Understand Graphing Linear Functions

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Essential Question: How can you determine if a function is linear or non-linear?

Understanding Linear Functions

Poll

Is the function linear or nonlinear?

• Linear

• Non-Linear

Poll

Is the function linear or nonlinear?

• Linear

• Non-Linear

Poll

Is the function linear or nonlinear?

• Linear

• Non-Linear

Poll

Is the function linear or nonlinear?

• Linear

• Non-Linear

Poll

Is the function linear or nonlinear?

• Linear

• Non-Linear

Linear Equations...

Poll

Is the equation linear or nonlinear?

 $y=7x-3$  

• Linear

• Non-Linear

Poll

Is the equation linear or nonlinear?

 $y=x^2+3$  

• Linear

• Non-Linear

Poll

Is the equation linear or nonlinear?

 $y=2\sqrt{x}$  

• Linear

• Non-Linear

Poll

Is the equation linear or nonlinear?

 $y=6\left(x+1\right)$  

• Linear

• Non-Linear

Poll

Is the equation linear or nonlinear?

 $y=2x$  

• Linear

• Non-Linear

Poll

Is the equation linear or nonlinear?

 $y=\frac{x}{3}$  

• Linear

• Non-Linear

Poll

Is the equation linear or nonlinear?

 $y=\frac{3}{x}$  

• Linear

• Non-Linear

Tables represent a linear relation if they show a constant rate of change.

Poll

Does the table represent a linear or nonlinear relation?

• Linear

• Non-Linear

Poll

Does the table represent a linear or nonlinear relation?

• Linear

• Non-Linear

Fill in the Blanks

Fill in the table so it represents a linear function.

Graphing Linear Functions

• A solution of a linear equation in two variables is an ordered pair that makes the equation true.

• The graph of a linear equation is the set of all the points that represent solutions of the equation.

A discrete domain is a set of input values that consists of only certain numbers in an interval. (Disconnected)

A continuous domain is a set of input values that consists of all numbers in an interval. (Connected)

Poll

Determine if whether the domain is discrete or continuous.

• Discrete

• Continuous

Poll

Consider the following linear situation. Determine if the graph is discrete or continuous.

• Discrete

• Continuous

Poll

Determine if whether the domain is discrete or continuous.

• Discrete

• Continuous

Poll

Consider the following linear situation. Determine if the graph is discrete or continuous.

• Discrete

• Continuous

Please complete BIM 3.3 Linear Functions

• When you are finished you should work on any missing assignments.