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Jeopardy
$100
Graphing Functions
TransformationsDomain
and RangeRate ofChange
InterpretingFunctions 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
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
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:
The original function shifted up 9 units.
2 - $400
Describe the transformation of the equation from its parent function:
The original function vertically stretched by a factor of 6.
2 - $500
Describe the transformation of the equation from its parent function:
The original function vertically compressed by a factor of .
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 - $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
4 - $200
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
4 - $300
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
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 - $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:
5 - $400
Using the graph below, interpret the slope of the function:
Slope = 40– Josh travels 40 miles per hour.
5 - $500
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.
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.