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

------------------------------------------------------------------------------------------------------------

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]

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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]=

-----------------------

f = {(3,2), (1, -1), (2, -4), (-3, -9), (4, -16)}

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download