Answer the following 6 sections questions and show work.

shouldn't take more than 1 hour to answer the questions.

Section 3.1 1-53 EOO(Every Other Odd: 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53)

3.2 1-61 EOO 3.3 1-33 EOO 3.4 1-77 EOO 3.5 1-77 EOO 3.6 1-29 EOO

3.2 1-61 EOO

Section 3.5

3.1 SECTION EXERCISES Verbal What is the difference 2. What is the difference 3. Why does the vertical line between a relation and a between the input and the function? test tell us whether the output of a function? graph of a relation represents a function? 200 3 . Functions 4. How can you determine if a 5. Why does the horizontal line relation is a one-to-one test tell us whether the function? graph of a function is one to-one? Algebraic For the following exercises, determine whether the relation represents a function. 6. {(a.b). (c.d). (a,c)) 7. {(a, b). (b.c). (c.c)} For the following exercises, determine whether the relation represents y as a function of x. s. 5x + 2y = 10 9. y= x 10. x= y- 11. 3x2 + y = 14 12. 2x + 32 = 6 13. y= -2x2 + 40x 14. y = - 15.X 16. x = VI-y 17. JAY 18. x2 + 37 =9 19. 2xy = 1 20. x = y 21. y= x3 22. y = VI-x2 23. x = = \\/1-y 24. y = VI-x 25. 32 = x2 26. 3 = x2 For the following exercises, evaluate f(-3), f(2). f(-a),-f(a). f(a + h). 17. f(x) = 2x -5 28. f(x) = -5x2+2x -1 29. f(x) = v2-x+5 30. f(x) = 3x72 31. f(x) = [x - 11-|x +1/ ven the function (x) = 5 - x, evaluate g(x+h)-8(x) , h # 0. 3. Given the function 34. Given the function 5. Given the function g(x) = x2 + 2x, evaluate k(1) = 21 -1 : f(x) = 8-3x : -,x# a. Evaluate k(2). Evaluate f(-2). 6 Solve k(1) = 7. Solve f(x) = -1 6. Given the function 37. Given the function 38. Given the function p(c) = etc: f(x) = x2 - 3x : f(x) = Vx+2: Evaluate p(-3) @ Evaluate f(5). Evaluate S (7). 6 Solve p(c) = 2. 6 Solve f(x) = 4. 6 Solve f(x) = 4. Access for free at openstax.org 31 . Functions and Function 39. Consider the relationship 3r + 21 = 18. Write the relationship as a function r = f(1). Evaluate S (-3). Solve f (1) = 2. Graphical For the following exerc O X 202 3 . Functions 52. Given the following graph, 53. Given the following graph, 54. Given the following graph, valuate f(-1). Evaluate f(0). Evaluate f(4). b Solve for f(x) = 3 b Solve for f(x) = -3. 6 Solve for f(x) = 1. For the following exerc3.2 SECTION EXERCISES Verbal . Why does the domain differ 2. How do we determine the 3. Explain why the domain of for different functions? domain of a function f(x) = vxis different from defined by an equation? the domain of f(x) = VX. . When describing sets of S. How do you graph a numbers using interval piecewise function? notation, when do you use a parenthesis and when do you use a bracket? Algebraic For the following exercises, find the domain of each function using interval notation. 6. f(x)=-2x(x - 1)(x -2) 7. f(x) = 5-2x2 8. / (x) = 3Vx-1 9. f (x) = 3- V6-2x 10. /(x) = V4-3x 11. /(x) = Vx3 +4 12. f(x) - VI -2x 13. /(x) - Vx- 1 14. /(x) - -6 15. / (0) = ATH 16. f (x) - Vit 17. f(x) = 349x-21 18. f(x) = 1-1-6 19. /X)= 21. 22. /(x) = VACA 23. /(x) = Vice 24. /(x) = 25. (x) = 26. Find the domain of the function /(x) = v2x3 - 50x by: @ using algebra. 6 graphing the function in the radicand and determining intervals on the x axis for or which the radicand is nonnegative. 12 . Domain and Range 221 Graphical For the following exercises, write the domain and range of each function using interval notation. 17 29 32 (-6.-1) 222 3- Functions For the following exercises, sketch a graph of the piece in interval notation. 38. f(x) = 1 -2x -3 if x2-2 39. fix) = { 2x -1 if x -1 For the following ex ion f, evaluate f(-1). (0), f(2), and f(4). 49. (x) - 7x +3 if x 1 54. f(x) = -3x2 if x2 2 Technology $5. Graph y = = on the viewing window 56. Graph y = = on the viewing window [-0.5. -0.1] [-0.5.-0.1] and [0.1, 0.5]. Determine the and [0.1, 0.5]. Determine the corresponding corresponding range for the viewing window. range for the viewing window. Show the graphs. Show the graphs. Extension $7. Suppose the range of a 58. Create a function in which 59. Create a function in which function f is [-5, 8]. What the range is all the domain is x > 2. is the range of If(x)|? nonnegative real numbers.3.2 SECTION EXERCISES Verbal . Why does the domain differ 2. How do we determine the 3. Explain why the domain of for different functions? domain of a function f(x) = vxis different from defined by an equation? the domain of f(x) = VX. . When describing sets of S. How do you graph a numbers using interval piecewise function? notation, when do you use a parenthesis and when do you use a bracket? Algebraic For the following exercises, find the domain of each function using interval notation. 6. f(x)=-2x(x - 1)(x -2) 7. f(x) = 5-2x2 8. / (x) = 3Vx-1 9. f (x) = 3- V6-2x 10. /(x) = V4-3x 11. /(x) = Vx3 +4 12. f(x) - VI -2x 13. /(x) - Vx- 1 14. /(x) - -6 15. / (0) = ATH 16. f (x) - Vit 17. f(x) = 349x-21 18. f(x) = 1-1-6 19. /X)= 21. 22. /(x) = VACA 23. /(x) = Vice 24. /(x) = 25. (x) = 26. Find the domain of the function /(x) = v2x3 - 50x by: @ using algebra. 6 graphing the function in the radicand and determining intervals on the x axis for or which the radicand is nonnegative. 12 . Domain and Range 221 Graphical For the following exercises, write the domain and range of each function using interval notation. 17 29 32 (-6.-1) 222 3- Functions For the following exercises, sketch a graph of the piece in interval notation. 38. f(x) = 1 -2x -3 if x2-2 39. fix) = { 2x -1 if x -1 For the following ex ion f, evaluate f(-1). (0), f(2), and f(4). 49. (x) - 7x +3 if x 1 54. f(x) = -3x2 if x2 2 Technology $5. Graph y = = on the viewing window 56. Graph y = = on the viewing window [-0.5. -0.1] [-0.5.-0.1] and [0.1, 0.5]. Determine the and [0.1, 0.5]. Determine the corresponding corresponding range for the viewing window. range for the viewing window. Show the graphs. Show the graphs. Extension $7. Suppose the range of a 58. Create a function in which 59. Create a function in which function f is [-5, 8]. What the range is all the domain is x > 2. is the range of If(x)|? nonnegative real numbers.formula of a function this the result of multiple ourmain of . function to you tell a horrortal shaft compression, formula of a function that is How can you determine You tell a reflection want Algebraic For the following ever 10. y = fux - 49 11. y= /x +43) 12 y = Sux + 3) 16. y = 1x)-2 17. y= /60-1 " y = /(x-2)+3 For the following exercises 20. /tri - 4x + 17 -5 21. 8(x) - Six + 3) -2 23. (x)= -3V/7- 1 Graphical the following e 24. 8(x) - 27 +1 25. MY) - 2" -3 27. /60)=0 +17 -3 23 Mx) = 1x-1|+4 29 4x) = (2-20 -1 30. at) - 3+ V7+1 Numeric functions f. 8. and & are give 1 2 -1 . 1 1x 2 -1 3 1 2 10 4 4 4 2 1 * -1 0 1 2 3 1 2 4 6 1 2 so. /(x) -