Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting...

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Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Jeopardy

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Page 1: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Final Jeopardy

Page 2: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

1 - $100

Solve for y:

𝑦=12𝑥+2

Page 3: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Write a function rule in function notation for the following scenario:– Jim wants to buy the new I-Phone 6s. He

decides to save money by cutting yards. He charges $15.25 per yard.

𝑓 (𝑥 )=15.25𝑥

Page 4: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Graph the function for the given domain: x – 3y = –6; D: {–3, 0, 3, 6}

••

••

y

x

Page 5: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Graph the following function:

Page 6: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Graph the following function:

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What is the new point after the following transformation?

(-2, 2) ; vertical shift of -2

(-2, 0)

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The graph of a function passes through the points (1, 3) and (-4, 7). What are the coordinates of these points after the function has been stretched horizontally by a factor of 2?

(2, 3) and (-8, 7)

Page 9: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Describe the transformation of the equation from its parent function:

The original function shifted up 9 units.

Page 10: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Describe the transformation of the equation from its parent function:

The original function vertically stretched by a factor of 6.

Page 11: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Describe the transformation of the equation from its parent function:

The original function vertically compressed by a factor of .

Page 12: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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What is the domain and range for the following:

(1, 2) , (2, 3), (3, 4), (4, 5)

D: {1, 2, 3, 4} R: {2, 3, 4, 5}

Page 13: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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What is the domain and range for the following:

D: R:

Page 14: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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What is the domain and range for the following scenario:– Shania is trying to save $50 to buy a gift for

her mom. She decides to sell bracelets for $5 each until she can save enough money.

D: {0, 1, 2, 3, . . . 8, 9, 10} R: {0, 5, 10, 15, . . . 40, 45, 50}

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What is the domain and range for the function shown below:

D: All real numbers

R: All real numbers

Page 16: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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What is the domain and range for the function shown below:

D: All real numbers R:

Page 17: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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What is the slope of the function between the points (-4, 4) and (-2, 8)?

Slope = 2

Page 18: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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What is the average rate of change over the interval [1, 4] for the table below:

Rate of change = -3

X Y

1 4

2 -1

3 -3

4 -5

Page 19: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Using the table below, tell when the rate of change was greatest.

Between months 4 and 5.

Months Profit (billions

)

1 4

3 10

4 8

5 12

7 15

Page 20: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Is the following graph of a function linear or nonlinear? Explain.

Linear because it has a constant rate of change.

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Is the following graph of the function linear or nonlinear? Explain.

Nonlinear because it has a variable rate of change.

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Calculate the x and y-intercepts for the function below:

X-intercept = 5 Y-intercept = 3

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Identify the slope from the function below:

Slope =

Page 24: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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Identify the dependent and independent variables in the following scenario and write a statement for its slope:– Marcus earns $15 for every “A” he earns on his

report card.

Independent variable – Number of “A’s” earned.

Dependent variable – Amount of money he earns in dollars.

Slope:

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Using the graph below, interpret the slope of the function:

Slope = 40– Josh travels 40 miles per hour.

Page 26: Jeopardy $100 Graphing Functions Transformations Domain and Range Rate of Change Interpreting Functions and Graphs $200 $300 $400 $500 $400 $300 $200.

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X-intercept = 20 ; the number of months it will take until the bank account zeros out

Y-intercept = 1000 ; the amount in the bank account when it’s first opened

Identify and interpret the x-intercept and y-intercept in the scenario below:– A certain bank account loses money at a linear

rate that can be modeled by the function: f(m) = -50m + 1000, where m is the number of months and f(m) is in dollars.

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Final Jeopardy

Explain how you determine if a function has a variable or constant rate of change.

You take the change in the y-values and divide it by the change in the x-values for each pair of points in the function. If the rates of change stay the same it’s constant and if the rates of change vary, it has a variable rate of change.


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