Week 5 Algebra 1

Which One Doesn't Belong?

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Reorder the following.

• using

• identify

• graphs, tables, and equations.

• linear function

• I can

Match the following.

• I can identify linear functions...

• Developing

• I can graph linear functions ...

• Proficient

• I can write real - life problems ...

• Advanced

Fill in the blank.

I can graph ______ _________ with discrete and continuous domains.

Focus Question

How are equations and graphs related?

A ​ (a)   , x and y, is an equation that can be written in the form ​ (b)   where m and b are ​ (c)   . The graph of a linear equation is a line. Likewise, a ​ (d)   is a function whose graph is a ​ (e)   .

• linear equation in two variables
• y = mx + b
• linear function
• nonvertical line
• constants
• nonlinear function
• m and b

A ​ (a)   has a ​ (b)   and can be represented by a ​ (c)   . A ​ (d)   does NOT have a constant rate of change. So, its graph is ​ (e)   .

• linear function
• constant rate of change
• linear equation in two variables
• nonlinear function
• NOT a line
• y = mx + b
• m and b
• graph

Match the following.

• linear

• Graph a

• nonlinear

• Reason Explained:

• Graph b shows a constant rate of change.

• Graph b

Does the graph or table represent a linear or nonlinear function? Select all that apply. (See photo)

• Linear - graph 1 is linear because it shows a constant rate of change.

• Linear - graph 2 is linear because

• Nonlinear - graph 1 is nonlinear

• Nonlinear - graph 2 is nonlinear because it is not a straight line.

Which of the following equations represent linear functions? Explain.

Groups:

(a) Linear Equation

,

(b) Non - Linear Equation

,

(c) Linear Graph

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(d) Non Linear Graph

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• y = 3.8

• y = 6 (x - 1)

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