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

1 - $100 Solve for y: 3𝑥+6𝑦=12 𝑦= 1 2 𝑥+2

1 - $200 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

1 - $300 Graph the function for the given domain: x – 3y = –6; D: {–3, 0, 3, 6} • y x

1 - $400 Graph the following function: 4𝑥−2𝑦=10

1 - $500 Graph the following function: 𝑦= 2 𝑥 −3

2 - $100 What is the new point after the following transformation? (-2, 2) ; vertical shift of -2 (-2, 0)

2 - $200 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)

2 - $300 Describe the transformation of the equation from its parent function: 𝑓 𝑥 +9 The original function shifted up 9 units.

2 - $400 Describe the transformation of the equation from its parent function: 6 𝑓(𝑥) The original function vertically stretched by a factor of 6.

2 - $500 Describe the transformation of the equation from its parent function: 1 3 𝑓(𝑥) The original function vertically compressed by a factor of 1 3 .

3 - $100 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}

3 - $200 What is the domain and range for the following: D: −5≤𝑥≤3

3 - $300 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}

3 - $400 What is the domain and range for the function shown below: D: All real numbers R: All real numbers

3 - $500 What is the domain and range for the function shown below: D: All real numbers R: 𝑦>0

4 - $100 What is the slope of the function between the points (-4, 4) and (-2, 8)? Slope = 2

4 - $200 What is the average rate of change over the interval [1, 4] for the table below: X Y 1 4 2 -1 3 -3 -5 Rate of change = -3

4 - $300 Using the table below, tell when the rate of change was greatest. Months Profit (billions) 1 4 3 10 8 5 12 7 15 Between months 4 and 5.

4 - $400 Is the following graph of a function linear or nonlinear? Explain. Linear because it has a constant rate of change.

4 - $500 Is the following graph of the function linear or nonlinear? Explain. Nonlinear because it has a variable rate of change.

5 - $100 Calculate the x and y-intercepts for the function below: 3𝑥−5𝑦=15 X-intercept = 5 Y-intercept = 3

5 - $200 Identify the slope from the function below: 5𝑥+7𝑦=49

5 - $300 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: 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑑𝑜𝑙𝑙𝑎𝑟𝑠 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝐴 ′ 𝑠 𝑒𝑎𝑟𝑛𝑒𝑑

5 - $400 Using the graph below, interpret the slope of the function: Josh travels 40 miles per hour.

5 - $500 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. 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

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.