Semester 1 Exam - Algebra 2 PAP

David is studying algebra 2 PAP and comes across a function f(x) = 2x + 3. What is the inverse of this function?

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Aiden and Evelyn are trying to solve a math problem. They are debating whether two functions they found in their calculations are inverse of each other. Are these inverse functions?

• no

• yes

• no way to tell

Daniel is working on a math problem where he needs to find the inverse of a function. He starts by replacing f(x) with y and then switches the x's and y's. What should Daniel do next?

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor

Sophia is trying to find the inverse of a function f(x) = x² - 5, which she encountered while solving a real-world problem. Can you help her find the inverse?

• f^-1(x) = √(x) + 5

• f^-1(x) = ∛(x-5)

• f^-1(x) =√(x+5)

• f^-1(x) = x² - 5

Emma is trying to calculate the distance her drone can travel. She knows the drone's speed is proportional to the square of the time it has been flying. If she wants to find out how long the drone has been flying based on the distance it has traveled, which function should she use?

• A square root function

• 2x

• Another quadratic

• A linear function

Isla and Arjun are studying functions in math class. They are asked to find the equation of the line that a function's inverse would reflect across. What is this equation?

• y = x

• y = 0

• x = 0

• Potato

Ethan and Hannah are looking at a pair of functions. Ethan claims that one function is the inverse of the other. Are Ethan's claims correct?

• True

• False

Mia is trying to find the inverse of a function she came across in her math homework. The function is
f(x) = 1/4x - 7. Can you help her find the inverse?

• f^-1(x) = 4x + 7

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

Liam, Anika, and Kai are playing a game where they have to find the inverse of the points on a graph. If the points are
(1,3)(2,4)(6,8), what would be the inverse of these points?

• (3,1)(4,2)(8,6)

• (-3,-1)(-4,-2)(-8,-6)

• (1,3)(2,4)(6,8)

• (-1,-3)(-2,-4)(-6,-8)

Rohan is playing a video game where he needs to enter the inverse coordinates to unlock a secret level. The coordinates he currently has are: (1, 2), (3, 8), (-3, 6). What are the correct inverse coordinates he should enter?

• (1, 2), (3, 8), (-3, 6)

• (1, 2), (8, 3), (-3, 6)

• (-1, -2), (-3, -8), (3, -6)

• (2, 1), (8, 3), (6, -3)