Topic Test Algebra 2 E2020

8 September 2022
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question
Which is the graph of f(x) = |x| reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?
answer
Answer B
question
Which of the following is the graph of f(x) = 3|x - 4| + 1?
answer
Answer A
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In which context will the inequality 4x + 5y > 80 have only integers in its solution set?
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Answer D; when x represents the number of cats and y represents the number of dogs
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The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which inequality represents this situation?
answer
answer d ; x+y >= 28
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A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable from the island to the mainland is mc022-1.jpg, where x represents the length of the cable in feet. What are the domain and range of the function?
answer
answer c : domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000
question
A local store's clearance rack is full of DVDs selling for $8 each and CDs selling for $6 each. Let x represent the number of DVDs, and let y represent the number of CDs. Which inequality can be used to find combinations of DVDs and CDs that can be bought with a $50 gift card?
answer
Answer A : 8X+6Y<= 50
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Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12?
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Answer C : x = 2, x = -4
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The graph below is an example of which type of function? mc004-1.jpg
answer
Answer C ; Cubic
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Which statement is true about mc013-1.jpg?
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Answer D ; The graph of f(x) has range of f(x) + 2 = 1/6{x-3} -2.
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What values are excluded from the domain and range of the function mc017-1.jpg?
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Answer C ; domain: -5/2 range: 1/2
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What are the domain and range of the function below? mc004-1.jpg
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Answer ; domain: - infinity to positive infinity range: -2 to positive infinity
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An amusement parks sells adult tickets for $18 each and youth tickets for $12 each. Kalila is using the inequality mc014-1.jpg to find the combinations of tickets she can buy without exceeding her $250 budget. The ordered pair (4, 3) is a solution of the inequality. What does (4, 3) represent?
answer
Answer C : Kalila purchases 4 adult tickets and 3 youth tickets.
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A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?
answer
cube root
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What are the domain and range of the function mc013-1.jpg? mc013-2.jpg
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Answer C ; domain: all real numbers range: all real numbers greater than 1
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The graph of mc022-1.jpg is transformed as shown in the graph below. Which equation represents the transformed function? mc022-2.jpg
answer
Answer A