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Jeopardy Relatio ns Discrete/ Continuou s Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $300 $400 $400 $400 $400 $500 $500 $500 $500 Final Jeopard
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Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

Dec 23, 2015

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Page 1: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

JeopardyRelations Discrete/

ContinuousFunction? Domain/

RangeMisc.

$100

$200

$300

$400

$500

$100 $100$100 $100

$200 $200 $200 $200

$300 $300 $300 $300

$400 $400 $400 $400

$500 $500 $500 $500

Final Jeopardy

Page 2: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Question from “Relations”

Create a table of the following relation

{(0,0), (1, 2), (3, 2), (5, 6), (7, -1)}

Page 3: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Answer from “Relations”

{(0,0), (1, 2), (3, 2), (5, 6), (7, -1)}

x y

0 0

1 2

3 2

5 6

7 -1

Page 4: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Question from “Relations”Creating a mapping diagram of

{(1, 2), (2, 2), (4, -1), (5, 0)}

Page 5: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Answer from “Relations”

1

2

4

5

-1

0

2

{(1, 2), (2, 2), (4, -1), (5, 0)}

Page 6: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Question from “Relations”

Create a mapping diagram of

{(-1,2), (0,2), (1, -3), (2, -2), (8, 3)

Page 7: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Answer from “Relations”

Page 8: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Question from “Relations”Billy says that the following table is correct for the relation {(0,1), (-2, 5), (2, 4), (-5, 2)}. Is he correct?

Why or why not?

x y

-5 1

-2 2

0 4

2 5

Page 9: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Answer from “Relations”

Wrong, he ordered the numbers from least to greatest instead of

ordering them based on the actual points (x, y).

Page 10: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Question from “Relations”

Create a table, mapping diagram, and relation

(i.e the set of coordinate points) for the following graph.

Page 11: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Answer from “Relations”

(-6,2), (6,8), (4, - 4)

x y

-6 2

6 8

4 -4

-6

4

6

-4

2

8

Page 12: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Question from“Discrete/Continuous”

Discrete or Continuous?

Page 13: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Answer from“Discrete/Continuous”

Continuous

Page 14: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Question from“Discrete/Continuous”

Discrete or Continuous?

Page 15: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Answer from“Discrete/Continuous”

Continuous

Page 16: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Question from “Discrete/Continuous”

Discrete or Continuous?

Page 17: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Answer from “Discrete/Continuous”

Discrete

Page 18: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Question from “Discrete/Continuous”

Discrete or Continuous?

Page 19: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Answer from“Discrete/Continuous”

Continuous

Page 20: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Question from“Discrete/Continuous”

Billy says that the graph below is discrete because it has points. Is he correct? Why or why not?

Page 21: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Answer from“Discrete/Continuous”

Wrong, it is continuous. Just cause it has points doesn’t mean it’s discrete

Page 22: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Question from “Function?”

Is the following a function? Why or

why not?

Page 23: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Answer from “Function?”

Nope! Fails the vertical line test

Page 24: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Question from “Function?”

Is the following a function? Why or why not?

x y

0 1

1 1

2 1

3 1

Page 25: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Answer from “Function?”

Yes, it is a function. One output for every input

Page 26: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Question from “Function?”

Is the following a function? Why or why not?

{(1, 0), (2, 1), (3, -1), (1, 0), (2, 4)}

Page 27: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Answer from “Function?”

No, (2,1), (2,4)

Page 28: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Question from “Function?”

Is the following a function?

Why? Why not?

Page 29: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Answer from “Function?”

Yes, for every input there is one output

Page 30: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Question from “Function?”

Is the following a function? Why? Why not?

Page 31: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Answer from “Function?”

No, both 3 and 6 have multiple

outputs.

Page 32: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Question from “Domain/Range”

What is the domain/range of the following:

{(0, 1), (-2, 1), (4, 5), (2, -1)}

Page 33: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Answer from “Domain/Range”

{(0, 1), (-2, 1), (4, 5), (2, -1)}

Domain: {-2, 0, 2, 4}

Range: {-1, 1, 5}

Page 34: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Question from “Domain/Range”

What is domain/range

of the following:

Page 35: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Answer from “Domain/Range”

Domain: {1, 2, 3, 4}Range: {A, B, C, D}

Page 36: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Question from “Domain/Range”

What is the domain/rang

e?

Page 37: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Answer from “Domain/Range”

Domain: All Real NumbersRange: All Real numbers

Page 38: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Question from“Domain/Range”

Domain/Range?

Page 39: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Answer from “Domain/Range”

Domain: -2< xRange: -2< y

Page 40: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Question from “Domain/Range”

Domain/Range?

Page 41: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Answer from “Domain/Range”

Domain: All Real Numbers

Range: y< 0

Page 42: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Question from “Misc.”

Function? Why? Why Not?

Page 43: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$100 Answer from “Misc.”

No, fails the vertical line test

Page 44: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Question from “Misc.”

Billy says this is not a function because it fails the line test and draws the following

line to prove his thoughts. Is he right? Why or why not?

Page 45: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$200 Answer from “Misc.”

Wrong, that is a horizontal line

compared to a vertical line. This is a function.

Page 46: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Question from “Misc.”

Domain/Range?

Page 47: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$300 Answer from “Misc.”

Domain: -1< x < 5

Range: 0 < y < 2

Page 48: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Question from “Misc.”

Function or no? Why? Why not?

Page 49: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$400 Answer from “Misc.”

Not Function. Fails vertical line test

Page 50: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Question from “Misc.”

Domain/Range?

Page 51: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

$500 Answer from “Misc.”

Domain: 0 < xRange: All real Numbers

Page 52: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

Final Jeopardy

For the following relation create/answer1.Table2.Mapping3.Determine Domain4.Determine Range5.Function? Or no? Why? Why not?

{(1, -1), (2, 5), (3, 0), (-1, 1), (-2, 1), (1, -1)}

Page 53: Jeopardy RelationsDiscrete/Conti nuous Function? Domain/ Range Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

Final Jeopardy Answer

x y

1 -1

2 5

3 0

-1 1

-2 1

-1 1

-2

-1

1

2

3

-1

0

1

5

Domain: {-2, -1, 1, 2, 3}Range: {-1, 0, 1, 5}FUNCTION. Every input has exactly one output