Module 5 Lesson 19

Module 5

Test Review

Lab Review

​Graphs

Mapping

Identifying Functions

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​Tables

Things to remember

Every x value has only one y value

Vertical Line Test - A vertical line can only pass through the graph once.

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Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Complete a table given a function.

​

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​Completing Function Tables

Multiple Choice

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5

Multiple Choice

Which table of values can be defined by y = x + 5?

• a

• b

• c

Multiple Choice

Find the missing OUTPUT value.

• -2

• 3

• 9

• -7

This is the packet we worked on for three days.

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​Construct Linear Functions

Initial value

​Where does the graph cross the y axis, what is the original amount at the start. What does not change.

​Find the y intercept

Constant rate of change

​In word problems look for wat is changing. For example mi/hr, cost per day, etc

Find the slope.

Construct Linear Functions

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Multiple Choice

Write an equation for the cleaning cost, y, for the number of hours, x. Put in y = mx + b form.

• y = 12x + 20

• y = 20x + 8

• y = 8x

• y = 8x + 20

Multiple Choice

The table shows a linear relationship between the distance Penelope is from the park as she walks to soccer practice. Find the rate of change. Hint: her distance is getting closer.

• 110 meters per minute

• 550 meters per minute

• -110 meters per minute

• 550 meters per minute

Multiple Choice

• Rate of Change: $20, Initial Value: $3

• Rate of Change: $3, Initial Value: $8

• Rate of Change: $8, Initial Value: $20

Multiple Choice

When Charlotte planted her tomato plant, it grew 3 inches in one week. After 5 weeks, the tomato plant was 23 inches tall. Assume the relationship is linear. What linear equation represents this situation?

• y = 5x + 3

• y = 3x + 23

• y = 3x + 8

• y = 8x + 15

Multiple Choice

Write an equation for the line that represents Penelope's distance, y, from soccer practice after x minutes. Use y = mx + b.

• y = -110x + 2480

• y = 110x + 2000

• y = -110x +2040

• y = 5x +1930

Compare Linear Functions

​Comparing Linear Functions

Find the slope, rate of change, and y intercept, initial value, of each function and then compare.

S

Open Ended

What is the rate of change for each function, and which one has the greater rate of change?

Multiple Choice

Compare the initial values of each function.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item I is equal to the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Multiple Choice

Which linear function has the greatest slope?

• A

• B

• C

• D

Multiple Choice

Compare the rates that each rental store charges per hour.

• Water's Edge Rafts has a lower rate because they charge $6 per hour.

• Water's Edge Rafts has a lower rate because they charge $5 per hour.

• Ryan's Rafts has a lower rate because they charge $2.25 per hour.

• Ryan's Rafts has a lower rate because they charge $15.00 per hour.

Multiple Choice

What has the GREATER rate of change.

• y = 7x + 10

• Someone who starts with $6 and gets $8 each day.

• y = 5x + 20

• Someone who starts with $8 and gets $6 each day.

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​Nonlinear Functions

Nonlinear Functions...

are represented by equations that have:

* exponents

* absolute value signs

* fractions with variables in the denominator

Multiple Choice

Which function creates this graph?

• $$y=x$$

• $$y=2x$$

• $$y=x^2$$

• $$y=\sqrt{x}$$

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the function represented by the table linear or nonlinear?

• linear

• nonlinear

Multiple Choice

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Tuesday's Topic

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​Qualitative Graphs

Multiple Choice

The graph shows the speed of Mr. May driving to work. Which section shows Mr. May driving on the interstate?

• a. - his rate of change is the steepest

• b. - he's going the fastest here

• g. - steep rate of change and not for a long time

• d. - shortest amount of time

• f. - he's going fast here

Multiple Choice

The graph shows Alex's distance as he leaves school one afternoon. What happens in section C? Why is the distance from school decreasing?

• Timmy is walking back to school because he forgot his chromebook.

• Timmy is talking to a friend and not walking.

• Timmy is walking faster home.

• Timmy is dancing in the street.

Multiple Choice

Choose the the graph that best depicts a man taking a ride on a ferris wheel.

• a

• b

• c

• d

Multiple Choice

• A

• B

• C

• D