1 MAC1105, College Algebra Study Questions for Common Final ...

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91. Given the graph of a quadratic function, f(x) = ax 2 + bx + c, what can you say about its discriminant, b 2 – 4ac? a. b. c. 92. Which of the accompanying graphs describe one-to-one functions? Explain your answers. a. b. c. 22
Solutions to Study Questions MAC 1105, College Algebra Final Exam 1. a. Function (all input values are different and thus each input has one and only one output) b. Function (all input values are different and thus each input has one and only one output) c. Not a function [same input values have different output values] d. Not a function [same input values have different output values] 2. a. Not a function: fails the vertical line test, e.g., look at the y-axis. b. Function: passes the vertical line test. c. Function; passes the vertical line test. 3. The equation is C = 2.00 + 0.32M. It represents a function. The independent value is M measured in miles. The dependant variable is C measured in dollars. Here is a table of values: Miles Cost ($) Miles Cost ($) 0 2.00 30 11.60 10 5.20 40 14.80 20 8.40 50 18.00 4. a. p(-4) = 0.063, p(5) = 32 and p(1) = 2 ; b. n = 1 only 5. a. f(-2) = 5, f(-1) = 0, f(0) = -3, and f(1) = -4 b. f(x) = -3 if and only if x = 0 or 2. c. [-4, ∞), The range of f is from -4 to + ∞ including -4, since we may assume that its arms are extended out indefinitely. 6. a. [-6, -3) and (5, 11) b. (-3, 5) and (11,12] c. (-6, 2) and (8, 12) d. (2,8) e. concave down over (0,5) and concave up over (5,8) f. x =1 or x = 3.5 g. f(-8) is undefined 7. a. Johnsonville’s population goes from 2.4 ∙ 100,000 = 240,000 to 5.8 ∙ 100,000 = 580,000. Range for Johnsonville: [240,000, 580,000]; Palm City’s population ranges from 1.8 ∙ 100,000 = 180,000 to a high of 3.8 ∙ 100,000 = 380,000. Range for Palm City: [180,000, 380,000] (This notation adheres to what is found in the graph.) b. The population of Palm City increased from 1900 to 1930. c. The population of Palm City decreased from 1930 to 1990. d. The two populations were equal sometime around 1940. 23
Page 1 and 2: MAC1105, College Algebra Study Ques
Page 3 and 4: 7. Examine the accompanying graph,
Page 5 and 6: 15. Match the graph with the correc
Page 7 and 8: 21. The supply and demand equations
Page 9 and 10: 29. Each of the following tables co
Page 11 and 12: 39. Fill in the following chart. (T
Page 13 and 14: 51. Rewrite each of the following f
Page 15 and 16: 61. The following figures show two
Page 17 and 18: Which functions: a. Are symmetric a
Page 19 and 20: 76. For each of the following graph
Page 21: 85. Find a new function j(x)such th
Page 25 and 26: 13. a. 1/10 b. 1/12 c. old: =
Page 27 and 28: 24. For Graph A: x≥ 0, y ≥ 0, a
Page 29 and 30: 37. a. A(t) = 0.75 , where t meas
Page 31 and 32: 59. a. f(0) = g(0) = 0 b. If 0 < x
Page 33 and 34: 75. a. goes with Graph A; b. goes w

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