Exam 3 Function Graphs & Systems Released Version

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Texas A&M International University *

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101

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Mathematics

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May 13, 2024

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docx

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Name: ______________________ Class: ______________________ Date: _____________ Exam 3: Function Graphs & Systems Released Version 1. The function  f(x) = |x|  is changed to  g(x) = (¼) |x-5| - 2    Which of the below correctly identifies the transformations? A. Horizontal Shift UP by 2 Units Vertical Shift Right by 5 Units  Stretch with a scale factor of 5 It reflects over the x-axis. B. Horizontal Shift Right by 5 Units Vertical Shift Down by 2 Units  Compression with a scale factor of (1/4) There is no reflection over the x-axis. C. Horizontal Shift Left by 5 Units Vertical Shift Down by 2 Units  Compression with a scale factor of 5 It reflects over the x-axis. D. Horizontal Shift Left by 5 Units
Vertical Shift Down by 2 Units  Compression with a scale factor of (1/4) It reflects over the x-axis. 2. Given function f(x) = - (x-3)² + 1, which statements represent key attributes of this function? Select  TWO  correct answers. A. The vertex is (-3,1). B. The maximum is y = 1. C. The range is y≥1. D. There is an x-intercept at (2,0) E. There is an x-intercept at (0,-8). 3. Given the function f(x) =  √( x-4)+2 , identify the correct domain and range. A. Domain: (-∞,∞) Range: (-∞,∞) B. Domain: [-4,∞)
Range: [2,∞) C. Domain: [4,∞) Range: [2,∞) D. Domain: (4,∞) Range: (2,∞) 4.
Identify the aymptote for the graph pictured above.
A. y = -1 B. x = -1 C. y = 0 D. x = 3 5. Nick has 40 coins consisting of in nickels, dimes, and quarters. He has 3 times as many nickels as dimes. If the coins are worth a total of $4.00, which system of equations is used to determine how many of each coin Nick has?   A. n + d + q = 40 n = 3d .05n + .10d + .25q = 4.00   B.
n + d + q = 40 d = 3n .05n + .10d + .25q = 4.00 C. n + d + q = 40 n = 3d 5n + 10d + 25q = 4.00 D. n + d + q = 40 d = 3n 5n + 10d + 25q = 4.00 6. Which equation is used to find one of the solutions to the equation -142x-6=-11  A. -14(2x-6)=11  B. 2x-6=114 
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