Upload
hatuong
View
220
Download
3
Embed Size (px)
Citation preview
Part#2Day2ComparingLinearandNonlinearFunctionsScreenshotFUNCTIONSUNIT2015and2016NOTES.notebook
1
March16,2016
Mar162:34PM
Mar162:35PM
Part#2Day2ComparingLinearandNonlinearFunctionsScreenshotFUNCTIONSUNIT2015and2016NOTES.notebook
2
March16,2016
Mar162:36PM
Mar162:37PM
Part#2Day2ComparingLinearandNonlinearFunctionsScreenshotFUNCTIONSUNIT2015and2016NOTES.notebook
3
March16,2016
Mar166:42AM
$70,000
y = $3,000x + $28,000
Mar162:37PM
Part#2Day2ComparingLinearandNonlinearFunctionsScreenshotFUNCTIONSUNIT2015and2016NOTES.notebook
4
March16,2016
Mar157:07PM
2,400 feet
y = 600x + 0
Attachments
HOMEWORKLinearvsNonlinearPractice.pdf
KEYLinearvsNonlinearPractice.pdf
x
x x
x
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: _____________________
___________________________ ___________________________ ___________________________
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: _________________ Type of relationship: _________________ Type of relationship: _________________
Reasoning: ______________________ Reasoning: ______________________ Reasoning: _____________________
___________________________ ___________________________ ___________________________
Type of relationship: _________________
Reasoning: ______________________
____________________________
Directions: Determine if each graph represents a linear or non-linear relationship. Explain your reasoning.
13. 14. 15.
Type of relationship: _________________ Type of relationship: _________________ Type of relationship: _________________
Reasoning: ______________________ Reasoning: ______________________ Reasoning: _____________________
___________________________ ___________________________ ___________________________
16. 17. 18.
Type of relationship: _________________ Type of relationship: _________________ Type of relationship: _________________
Reasoning: ______________________ Reasoning: ______________________ Reasoning: _____________________
___________________________ ___________________________ ___________________________
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
Page 1Page 2Page 3Page 4Attachments Page 1