Functions CW/HW 8

1. Which of the following relations below is a function?
1. {(2,3), (3,4), (5,1), (6,2), (2,4)}
2. {(2,3), (3,4), (5,1), (6,2), (7,3)}
3. {(2,3), (3,4), (5,1), (6,2), (3,3)}

Explain your reasoning: ________________________________________________________________________________________________________________________________________________

2. Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}.  Which of the following values for x will make relation Aa function? 
1. 7
2. 9
3. 4

Explain your reasoning:

________________________________________________________________________________________________________________________________________________

3. The following relation is a function.
   {(10,12), (5,3), (15, 10), (5,6), (1,0)} 
1. True
2. False

Explain your reasoning:

________________________________________________________________________________________________________________________________________________

4. The graph of a relation is shown at the right.  Is this relation a function?
1. Yes
2. No
3. Cannot be determined from a graph

Explain your reasoning:

________________________
________________________

________________________

5. Is the relation depicted in the chart to the right a function?

1. X 0 1 3 5 3 9 Y 8 9 10 6 10 7

   Yes
2. No
3. Cannot be determined from a chart

Explain your reasoning:

______________________

________________________________________________________________________________________________

6. The graph of a relation is shown at the right.  Is the relation is a function?
1. Yes
2. No
3. Cannot be Determined

Explain your

Reasoning:

_____________

_____________

_____________

_____________

_____________

_____________

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7. X -2 -1 0 1 2 3 Y 5 5 5 5 5 5

   Is the relation depicted to the right a function?
1. Yes
2. No
3. Cannot be Determined

Explain your

Reasoning:

________________________________________________________________________________________________________________________________________________

8. The graph of a relation is shown at the right. Is the relation a function?
1. Yes
2. No
3. Cannot be Determined

Explain your

Reasoning:

______________

______________

______________

______________

______________

_______________

_______________

________________

________________

______________

HW #7

Make a graph out of the table you completed during the lab today, such as the one posted on the link below. Your X-axis is Stage Numbers (how many times you added the 40 beans), and the Y axis is height (in mm). Your X axis might go to 7, or 10, or 14, or however many times you added the 40 beans. Your Y axis might go to 10, or 20, or 40 mm, or however tall you measured. The first point, for example might be (1,3), meaning when you added the 40 beans the first time, you measured 3 mm tall.

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Unit 1 Review-- IF YOU CAN DO ALL OF THESE, YOU CAN HANDLE THE TEST! Extra Credit if completed and turned in MONDAY!

Unit 1 Review

1. 

a.       What transformations to triangle B would produce triangle A?

b.      What transformation of triangle E would produce triangle C?

2. 

a.       What type of transformation occurred above? Be specific in your answer (ex: reflected over ____ axis, translated _ units up/down and _ units to the right/left, rotated ___ degrees  clock/counter-clock wise, dilated with a scale factor of __).

3.      

a.       If you translated figure ABC two units to the left and one down, what would be the new coordinates of point A?

b.      If you translated figure ABC three units to the left and four down, what would be the new coordinates of point B?

c.       If you rotated ABC 90 degrees clockwise about the origin, what would the new coordinates of point C be?

d.      If you rotated ABC 180 degrees about the origin, what would the new coordinates of point A be?

e.      If you reflected ABC over the y-axis, what would the new coordinates of point B be?

f.        If you reflected ABC over the x-axis what would the new coordinates of point C be?

4. 

a.       The N on the left is the original image. The N on the right is the transformed image. What transformation occurred?

b.      Are the letters congruent?

c.       How do we know they are congruent?

5. When a figure is dilated, the resulting figure is similar, congruent, or altogether different from the original figure?

6. When a figure is rotated, the resulting figure is similar, congruent, or altogether different from the original figure?

7.  When a figure is reflected, the resulting figure is similar, congruent, or altogether different from the original figure?

8.  Point A is (2,8), point B is (8,8), point C is (8,4), and point D is (2,4).

a.       Graph these points onto a coordinate grid and connect them to form a rectangle.

b.      If rectangle ABCD is dilated with a scale factor of ½ to form rectangle A’B’C’D’, what would the new coordinates of A’, B’, C’, and D’ be?

c.       Graph these new points on the same grid and connect them to form a new, smaller rectangle.

d.      Is this new rectangle A’B’C’D’ similar to or congruent to the original rectangle ABCD?

                                                               i.      How do you know? Support your answer.

9. Angle N is 58 degrees. Angle S is 62 degrees.

                  a. What is the measure of the third, unmarked angle of the triangle?

                  b. What is the measure of angle D? Justify your answer using the vocabulary

                  term that describes it's relationship to another angle.

HW #6

Below is HW #6:

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*Remember, notebook quizzes are tomorrow!

**Unit 1 quiz is on Monday. It will cover EVERYTHING we have learned so far this year. We will have a review tomorrow, which will consist of a game. YOU SHOULD STUDY TONIGHT so that you are ready to play and can WIN! I have great prizes for winners :).

Here's some study motivation.... Enjoy!: Study Motivation!

I will post the study guide as soon as possible. Be sure to check back. It is due Monday for extra credit.

HW #5

Dilations homework!

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If you do not have a calculator at home, click the link below to use this online one:

http://www.csgnetwork.com/csgscicalc.html

Reminder** Notebook quiz is FRIDAY
              **Unit 1 TEST is Monday--- start studying NOW for our in class review on FRIDAY--- we will       play a game and the winner will win a prize

Unit 1 test will cover:

-Supplementary and Complementary Angles
-Parallel lines and transversals and the angles they form (measures and vocabulary)
-Concept of rotations, translations, reflections, and dilations
-Rotations, translations, reflections, and dilations on a coordinate grid
-Congruence and similarity of shapes under rotations, translations, reflections, and dilations
-Transverals and parallel lines with a triangle formed (identifying the angles)

HW #4

For numbers 9 and 10, I want you to tell me what the new points of the figure would be after you rotate them the given number degrees in the direction given. It may be helpful to you to plot the points.

For numbers 11 and 12, tell me how many degrees the figure rotated and in what direction.


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For those of you that didn't finish this in class

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