Distinguish between functions & relations
Name: ___________________________
Based on the results of your chapter 4 and 6 assessment, the following skills and concepts need to be remediated by completing the attached worksheets.
|Worksheet # |Skills |Worksheets to be completed |Grade on worksheet out of |
| | | |10 |
|1 |Functions vs. Relations | | |
|2 |Evaluating Functions | | |
|3 |Domain and Range | | |
|4 |Equations of Transformed Functions | | |
|5 |Applying Transformations | | |
|6 |Interpreting Graphs | | |
|7 |Applying Matrix Operations | | |
|8 |Systems of Equations | | |
|9 |Matrices Extensions | | |
Average: ______
This will be put in as a formative assessment grade.
Worksheet #1
Determine whether each relation is a function or not. Explain your reasoning for each.
1. {(3,2), (1, -1), (2, -4), (3, -9), (4, -16)}
2.
[pic]
3.
[pic]
4. Add another ordered pair to this relation that would make this not a function anymore.
(5, 4), (8, -1), (7, 3), (0, 5), (10, -2), and __________
Worksheet #2
Use the following 4 functions, f(x), g(x), m(x), and n(x), to evaluate the problems below.
g(x)
[pic]
m(x) = 7x – 4 n(x) = x3 + 1
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Evaluate.
1. f(2) 2. x when f(x) = 2 3. g(-3) 4. x when g(x) = 3
5. m(5) 6. x when m(x) = -32 7. n(-2)
8. m(f(1)) 9. [pic] 10. m(f(g(3)))
Worksheet #3
State the domain and range of each relation.
1. {(3,2), (1, -1), (2, -4), (3, -9), (4, -16)}
2.
[pic]
3.
[pic]
Worksheet #4
Write the equation of each transformed function.
1. 2.
[pic] [pic]
3. 4.
[pic] [pic]
Worksheet #5
The graph below represents y = h(x).
[pic]
1. Graph y=h(x) after it has been reflected over x-axis then translated left 2. Label this graph k(x). Write its equation here: ____________________
2. Graph y=h(x) after it has been translated left 2 and reflected over the x-axis. Label this graph m(x). Write its equation here:________________
How does it compare to k(x)?
3. Graph y = h(x) after it has been reflected over the x-axis then translated down 3 units. Label this graph n(x). Write its equation here: ______________
4. Graph y = h(x) after it has been translated down 3 units and then reflected over the x-axis. Label this graph q(x). Write its equation here: ______________. How does it compare to n(x)?
Worksheet #6
The following graph tells a story. Write a story that would model this graph. Take note of where the graph begins and ends and what the independent and dependent variables are.
[pic]
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Worksheet #7
Perform the following matrix operations.
1. [pic]
2. [pic]
3. [pic]
4. [pic]
5. [pic]
Worksheet #8
Solve the following system of equations using any method.
1. [pic] 2. [pic]
3. A dietitian wants to prepare a meal with 24 g of protein, 27 g of fat, and 20 g of carbohydrates using three foods shown in the table.
|Food |Protein |Fat |Carbohydrates |
|A |2g |3g |4g |
|B |3g |3g |1g |
|C |3g |3g |2g |
How many ounces of each food are needed?
Worksheet #9
1. The following matrix represents the vertices of quadrilateral ABCD. Plot the quadrilateral on the graph.
[pic]
[pic]
a. What does m23 represent?
b. What does m14 represent?
2. Perform the following matrix operations and plot the new quadrilateral. Then describe what each operation did to the polygon.
a. [pic]=
b. [pic]=
c. [pic]=
d. [pic]=
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f = {(3,2), (1, -1), (2, -4), (-3, -9), (4, -16)}
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