part #2 day 2 comparing linear and nonlinear functions ...part+#2... · the data table of a linear...

Part#2Day2ComparingLinearandNonlinearFunctionsScreenshotFUNCTIONSUNIT2015and2016NOTES.notebook

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March16,2016

Mar162:34PM

Mar162:35PM


2

March16,2016

Mar162:36PM

Mar162:37PM


3

March16,2016

Mar166:42AM

$70,000

y = $3,000x + $28,000

Mar162:37PM


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March16,2016

Mar157:07PM

2,400 feet

y = 600x + 0

Attachments

HOMEWORKLinearvsNonlinearPractice.pdf

KEYLinearvsNonlinearPractice.pdf

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x x

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Investigation 1 Tab Big Ideas: Section 6.4 Function Comparison: Linear and Non-linear Functions

Name _____________________________________ Date_______________ Hour____

Function Comparison Unit

Part #1 & 2: Comparing Data Tables, Graphs, and Equations

1. Write three example equations which represent both types of relationships:

linear ______________________ ________________________ ____________________

non-linear ______________________ ________________________ ____________________

2. Circle the ten equations which represent linear relationships.

y = x + 5 y = 50(6 ) y = 11 8x y = x 2 + 3x 28

y = 48 2 y = 2 + 0.5x y = 3/4x 9 y = 0.25(4 )

y = -6x x y = 40 y = x 2 81 y = 12 + x

x = -3 y = -1/2x + 6 y = 8 xy = 18

y = 15 y = x 2 4 y = -9 y = 4(x 3) x

Directions: Determine if each data table represents a linear or non-linear relationship. Look carefully for patterns! Show data table intervals to prove your thinking.

Type of relationship: _________________ Type of relationship: _________________ Type of relationship: _________________

Reasoning: ______________________ Reasoning: ______________________ Reasoning: _____________________

___________________________ ___________________________ ___________________________



___________________________ ___________________________ ___________________________

x y

0 25

7 20

14 15

21 10

x y

2 8

4 4

6 0

8 -4

x y

1 18

2 54

3 162

4 486

x y

2 20

4 10

8 5

40 1

x y

-5 -6

-2 -1

1 4

4 9

x y

-7 -10

-11 -4

-15 2

-19 8

Who Belongs?

3. 4. 5.

6. 7. 8.

1 2 3 4 5 6 7 8 9 10 x

5

10

15

20

25

30

35

40

45

50y

1 2 3 4 5 6123456 x

1

2

3

4

5

6

1

2

3

4

5

6

y



___________________________ ___________________________ ___________________________

Type of relationship: _________________

Reasoning: ______________________

____________________________

Directions: Determine if each graph represents a linear or non-linear relationship. Explain your reasoning.

13. 14. 15.



___________________________ ___________________________ ___________________________

16. 17. 18.



___________________________ ___________________________ ___________________________

x y

5 4

6 2

7 1

8 0.5

x y

-12 3

-6 4.5

0 6

6 7.5

x y

3 9

1 1

-1 1

3 9

x y

-3 8

-5 13

-8 18

-12 23

9. 10. 11.

12.

19. Candy has a 100-inch long string of licorice to share with her friends on Valentines Day. As each friend asks her for a piece of the licorice, she

generously gives him/her a certain amount of what she has left. The table

below shows the number of friends (x) who received licorice and the

length of licorice left (y), in inches, each time she gives a piece away.

Friend Number (x) 1 2 3 4

Length of Licorice Remaining (y) 100 25 6.25 1.5625

a. Does the table represent a linear or non-linear relationship? PROVE your thinking in the data table. Then, explain your reasoning.

____________________________________________________________

____________________________________________________________

____________________________________________________________

20. The data table below shows the total cost in dollars (y) of any number of pounds of sunflower seeds (x).

a. What is the missing y-value that makes the data table represent a linear relationship ? (HINT: Show intervals.)

_______________

b. Write the linear equation that represents the total cost of buying these sunflower seeds. (y= mx + b form)

____________________________

21. The data table below shows the frequency in terahertz (y) of any light wave is a function of its wavelength in nanometers (x).

a. Does the data table represent a linear or non-linear relationship? PROVE your thinking in the data table. Then, explain your reasoning.

_________________________________________________________________________________

_________________________________________________________________________________

_________________________________________________________________________________

SMART Notebook

SMART Notebook

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part #2 day 2 comparing linear and nonlinear functions ...part+#2... · the data table of a linear...

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