Advanced Algebra wltrigonometry th Week Assessment. 5. Which of the following graphs could represent an exponential function?

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1 Advanced Algebra wltrigonometry th Week Assessment 1. What type of function does the following table represent? ~8 110? a.) Linear b.) Quadratic c.)exponential d.) Inverse Variation 2. If y varies directly with x when x = 6 and y = 18, find y when x = 24. a.) 8 b.) 6 c.) 72 d.) Which of the following is NOT true of a direct variation? a.) passes through (0,0) b.) Linear c.) xy= k d.) y = kx 4. What is the shape of the absolute value function? a.) Parabola b.) J-Curve c.) Hyperbola d.) V-shape 5. Which of the following graphs could represent an exponential function? )'t a.). b.) c.) If I ---t-~--... ~ x 6. The owner of a coffee shop recorded the number of cups of regular coffee and the number of cups of tea he served between 5:00 a.m. and 11:00 a.m. Icups of coffee, ciitj[i[j[j[j[ejqqj[kj I Cups oftea, t I[JJ[[]IT:J[[]~OIJ According to the information in the table, which equation best describes the relationship between the number of cups of coffee and the number of cups of tea served during this time period? r">; a.). c= 3+61 b.). c=6+6r c.). c=6+3t d.). c=3+3t e.). c= 6+3t 1

2 /1 I.se do NOT write on this exam. 1') 7. Which set of data could be modeled by a transformation of the parent function Y = x: a.). ~QJ@][JJITJm[l] 00tTI8J[][][] c.). b.). 8. A cell phone plan uses a fixed charge of $20 per month plus 10 cents for each minute used to calculate the total bill. Which function rule represents the total bill, t, in terms of the number of minutes, m? a.) t = m b.) m = Ot c.) t = Om d.) 1 = :1 9. A cyclist trained for an Olympic bike race by riding a fixed distance of216 miles at various speeds. Which function rule represents the time it took him to cover the distance, t, in terms of his speed, s? t = 216 a.) t = 216s' b.) 9 = 2161 c.)' s d.) t = 216-s 10. Which of the following graphs could be the graph of the inverse of [I ' \ ~.:r....,xl = 5 r a.) ~ 't 8:;: 4-. :t 'tot,r;'.._. 'H:'oH'",1).4. 4 a x -1: -ai f b.) c.) d.) 11. Which of the following is NOT a one-to-one function? 4 -B-4./43.t 4 I a.) f~y.) = 3x - 3 b.) [(xl = log3x c.) f~y.) = 5.6 x d.) [(x) = lx Given [(I) = 4 + 7t'find f- 1 (8). a.) -52 b.) c.) d.) The inverse of the exponential parent function is the function. a.) logarithmic b.) square root c.) linear d.) quadratic 14. Find the inverse of the function I(x) = 3x x-4 x 4 2 a.) y=x-- b.) y=-- c.) y=-+- d.) y=-3x Find the inverse ofthe function I(x) = 3x

3 Please do NOT write on this exam..j x+2 f +2 a.) y = 3x b.) y = -- c.) y = The inverse of the quadratic parent function is the function. a.) linear b.) exponential c.) logarithmic d.)square root 17. The inverse of a relation means all of the following EXCEPT _ a.) switch the x and y b.) graph the reflection over y = x c.) calculate the rate of change d.) change the dependency relationship 18. If the a function is one to one, then the inverse is NOT a function a.) True b.) False 19. Which statement describes what happens to the graph of y = a{x - h)3 + k when the value of h is changed from -2 to 5? a.) The graph shifts 7 units to the c.) The graph widens (shrinks left vertically) b.) The graph shifts 7 units to the d.) The graph shifts 7 units up. right 20. Which statement describes what happens to the graph of y = a(x.; h)2 + k when the value of k is changed from 1 to -3? a.) The graph shifts 4 units to the left b.) The graph shifts 4 units down. c.) The graph narrows (shrinks horizontally) d.) The graph shifts 4 units up. 21. Which statement describes what happens to the graph of.j' = a{x - hf + k when the value of a is changed from -1 to -4? a.) The graph widens (shrinks vertically) b.) The graph shifts 3 units down. c.) The graph narrows (shrinks horizontally) d.) The graph shifts 3 units up. 22. Which of the following graphs best represents the function y = (x + 5)2-3? ;10 ~; : r 10.T a.) b.) c.) d.), -lfr 3

4 7 23. f(x) and g(x) are both transformations of the parent quadratic function f(x)=-(x-7) +5 g(x)=-7(x+4)-7 2 Compared to g(x), f(x) is _ a.) more narrow b.) wider c.) to the left d.) lower 24.. lcx) =.f(x - h) + k is a general equation for the transformation of a.) a quadratic function b.) an absolute value function c.) a piecewise function d.) any function 25. If the value 7 changes to -4, what happens to the graph off(x) = -3(x - 5)2 + 7? a.) undergoes a horizontal shift to the right b.) undergoes a vertical shift upward c.) undergoes a horizontal shift to the left d.) undergoes a vertical shift downward 26. Look at the table of values below for f(x) and g(x). If g(x) is a transformation of f(x), how would you describe this transformation? x n» x g(x) a.)f(x) = g(x-4)+ 5 b.) g(x)=f(x-4)+5 c.) I(x) = g(x + 4) + 5 d.) g(x) = I(x + 4) If I(x) = X2, each of the following describes the transformation g(x) = -4(x + 3)2-9 EXCEPT. a.) shifts right 3 b.) shifts down 9 c.) opens downward d.) vertically stretches 28. g(x) is a transformation of f(x) such that g(x) = f(x - 3). If the table shown is a table of values for the function f, find g( 4). x I(x) 4

5 a.) 1 b.) 5 c.) 10 d.) Solve the linear system. 3x- y =-5 4x -9y = -22 a) (2, -1) b) (-1,2) c) (1,2) d)(2, 1) 30. Solve the linear system. 4x+ y = 4 x+ y =-5 a) (-8, 3) b) (3, -8) c) (1, 0) d) (0, -5) 31. Ashley ordered concert tickets that cost $7.00 for children and $10.00 for adults. She ordered 8 more children's tickets than adults' tickets. Her total bill was $124. How many of each type of ticket did she order? a) 12 adult and 4 children's tickets c) 4 adult and 12 children's tickets b) 6 adult and 10 children's tickets d)3 adult and 11 children's tickets Theater tickets were sold for a performance. General admission was $10 but student rates offered a 50% discount. Box office receipts totaled $8,500. How many students attended? a) 300 b) 700 c) 200 d) Which system of equations is represented by the graph? )'1.. "r: 8<f 11 i :"1f ~"';+-~"'''>«t--~~~-t''''4-;; ,J, I 6,~ j.at T 5

6 , a) x-2y = 3 3x + Y = 5 b)x-3y=9 2x +y =4 c)3x-y=9 2x +y = 4 d) 3x + Y =-9 2x-y =4 34. If x = y + z and x + y = 6 and x= 10, then z=? a.) 4 b.) 8 c.) 14 d.) What are the coordinates (x, y) at which the graphs of2x+ 3y = 12 and 2x - y = 4 intersect? a.) (3, 2) b.) (2,3) c.) (1, -2) d.) (-3, 6) 6