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# MATH 100 practice test EXAM 1 MATH100

KSU

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This 5 page Test Prep (MCAT, SAT...) was uploaded by Connie Jaffrey on Wednesday February 3, 2016. The Test Prep (MCAT, SAT...) belongs to MATH100 at Kansas State University taught by Spare, Jessica J in Fall 2015. Since its upload, it has received 48 views. For similar materials see College Algebra - Traditional in Art at Kansas State University.

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Date Created: 02/03/16

Name: Recitation Instructor, Day, Time: TRADITIONAL MATH 100 { Exam 1 { PRACTICE VERSION Directions: You will ▯nd 14 problems listed below. No notes/books/friends are allowed. Graphing cal- culator models above the level of a TI-84 plus are not allowed. You have one hour to complete this exam. Page 1 Page 2 Page 3 Page 4 Page 5 TOTAL 20 pts. 20 pts. 20 pts. 20 pts. 20 pts 100 pts 1. (6 points) Find the intersection. Express answers in interval notation and on a number line: (▯4;8] \ [1;9) 2. (7 points) On the grid below, graph the relation f(x;y)jx ▯ 3g. 3. (7 points) Find the distance between the two points (3;▯5) and (2;4). 4. (8 points) Evaluate and complete the following function table for f(t) = t + 4Mt, where M is some unspeci▯ed parameter. t -2 -1 0 1 2 f(t) 5. (6 points) Solve for x: 5(x ▯ 2) + 3 = 8(x ▯ 1) ▯ 4 3 6. (6 points) Is the function f(x) = x ▯ x even, odd, or neither? Use the de▯nitions of even/odd to justify your answers. 7. (6 points) Graph y = ▯2x+1 on the grid below. Include at least 6 points on your graph, including the intercepts. f(x + h) ▯ f(x) 8. (8 points) Given f(x) = 5x ▯ 3, ▯nd the di▯erence quotient . h 9. (6 points) Suppose the cost function for a certain product is given by C(x) = 10x + 4000 and the revenue function for the product is given by R(x) = 35x + 2000. Find a formula for the following functions: (a) Pro▯t Function, P(x) (b) Average Cost Function, C(x) 1 10. (10 points) Find the domain of the function f(x) = . x + 9 11. (10 points) Consider the function g(x) whose graph is given below. (a) Over what x-intervals is the graph of g(x) increasing? (b) Over what x-intervals is the graph of g(x) decreasing? 12. (8 points) Given f(x) = 4x ▯ 3 and g(x) = 6x , ▯nd (fg)(3). 13. (4 points) Consider the graph of h(x) = x . Describe how the graph of h(x ▯ 3) + 4 would look in terms of translations. 14. (8 points) Consider the following piecewise function. Which of the statements given below are true? You may circle more than one choice if necessary. 8 < 4; x ▯ ▯3 2 f(x) = : x ; ▯3 < x ▯ 2 x; x > 2 (a) f(2) = 4. (b) f(2) = 2. (c) f(▯3) = 9. (d) f(▯3) = 4. (e) f(▯6) = 4. (f) f(4) = 4.

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