3.4.3 Understand Linear Functions

3.4.3 Understand Linear Functions

Multiple Choice

Does the following graph represent a LINEAR FUNCTION?

• Yes

• No

​Linear Functions - Graphs

​Snow!!

​On Monday morning there were 12 inches of snow on the ground. The weather warmed up, and by Tuesday morning 2 inches had melted, 2 inches had melted by Wednesday morning. This pattern continues throughout the week.

​

​Let x = days after Monday Let y = inches of snow on the ground

​Equation Table Graph

Open Ended

Do you have any real life situations that would represent a linear function?

Multiple Choice

Does y = 2x + 1 represent a linear function?

• Yes

• No

Multiple Choice

Does $$y\ =\ x^3$$  represent a linear function?

• Yes

• No

​Slope Intercept Form

​y = mx + b

​

​m =

​

​b =

Multiple Select

Which equations are linear functions?

• $$y\ =\ mx^2$$  

• $$y\ =\ mx$$  

• $$y\ =\ mx^2\ +\ b$$  

• $$y\ =\ mx\ +\ b$$  

Multiple Choice

Which of the following equations represents a linear function?

• y = 0.5x + 2

• y = 0.5x^2

Try It!!​

​Let's continue practicing

Multiple Choice

Which one is LINEAR?

• A

• B

• C

• D

Multiple Choice

Is the function linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

What equation represents: The cost of belonging to the gym is $20 and then you pay $5 for every class you want to take.

• y = 20x + 5

• y = 5x + 20

• y = 25x

• y = 5 + 20x

Multiple Choice

Is the table Linear or Nonlinear

• Linear

• Nonlinear

Multiple Choice

Is the table Linear or Nonlinear?

• Linear

• Nonlinear