Exam 3 Function Graphs & Systems Released Version

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Texas A&M International University *

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Mathematics

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May 13, 2024

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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.
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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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C. 2x-6=-114  D. 2x-6 = -44  7. An absolute value inequality is shown. 47x+6-8<72    What is the solution set for this inequality? A. x<-267     or     x>2  B. -267<x<2  C. -327<x<207  D. x<-327     or    x>207 
8. Rachel, Leah, and Maria all took walks on Monday. The three girls walked a total of 15 miles. Maria walked twice as far as Leah. Leah and Rachel walked a combined total of 7 miles.   The following system of equations can be used to model this situation: r+l+m=15  -2l+m=0  r+l=7  r+l+m=15  What is the solution to this system of equations? A. (356,353,-52)  B. (6,8,2) C. (3,4,8) D. (9,4,2) 9. A system of equation is shown.
  A systems of equations is shown below. x-2y+3z=-3  2x-3y-z=7 3x+y-2z+6  Identify the correct matrix for this system. A. 1-23-32-3-1731-26  B. 0-23-32-30731-26  C. 123323173126  D. x-23-323-z731-26  10.
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Calculate the slope for the graph pictured above. A. m = 3/2 B. m = -3/2 C. m = 2/3 D. m = -2/3 11.
Identify the parent function.
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A. f(x) = x2  B. f(x)=x  C. f(x) = ex  D. f(x)=x  12.
Identify the parent function.
A. f(x) = x2  B. f(x)=x  C. f(x) = ex  D. f(x)=ln x 
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