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Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 1 of 14 Course Name: Precalculus: Analytic Geometry and Algebra Course ID: MTHH043060 Student: Student ID: Generated Date: March 04, 2024 Test Version: R Test Progress Test 2 Progress Test 2 (Evaluation 52) covers the course materials that were assigned in Units 3 and 4. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book, proctored test. You may not have access to notes or any of the course materials while you are taking the test. You may use your graphing calculator on this test. ____ 1. Find the solution of this equation: A. no solution B. −3, −8 C. −3 D. −8 ____ 2. Given the function f (x) = x 3 + 3x 2 – x – 3, use synthetic division to find the value of f (–2). A. −1 B. −21 C. 15 D. 3 ____ 3. Find the horizontal asymptote of this function, if one exists: A. y = 0 B. C. D. no horizontal asymptote exists Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 1 of 14 Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 2 of 14

____ 4. Given the function f (x) = x 3 + 3x 2 – x – 3, use synthetic division to find the value of f (1). A. – 6 B. – 8 C. 0 D. – 2 ____ 5. Which of the following equations is a quadratic function? A. y = 3x 2 – 2x + 5 B. y = 6x 3 – 3x 2 + 4x + 2 C. y = + 2x – 7 D. y = 4x – 8 ____ 6. Use the discriminant, b 2 – 4 ac , to determine the number of real roots for this quadratic equation: −x 2 + 4x = −5. A. 3 B. 2 C. 1 D. 0 ____ 7. What is the y-intercept of f (x) = x 2 + x – 2? A. (0, 2) B. (0, –2) C. (2, 0) D. (–2, 0) ____ 8. Find the intercepts of the following linear function: 4x + 5y = 20. A. (0, 5) and (−4, 0) B. (5, 0) and (0, 4) C. (−5, 0) and (0, −4) D. (4, 0) and (0, 5)) Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 2 of 14 Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 3 of 14

____ 9. What is the center of the hyperbola with the equation ? A. (−5, −4) B. (5, 4) C. (4, 5) D. (−4, −5) ____ 10. What is the graph of the hyperbola with the equation ? A. B. C. D. ____ 11. Determine the direction of the graph: 5x + 3y = 6. A. increasing B. decreasing C. horizontal D. vertical ____ 12. Find the x-intercepts of the function f (x) = x 3 + 3x 2 – x – 3. A. (–1, 0) , (1, 0) , (3, 0) B. (–1, 0) , (1, 0) , (–3, 0) C. (–3, 0) , (1, 0) , (3, 0) D. (–3, 0) , (–1, 0) , (3, 0) Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 3 of 14 Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 4 of 14 ____ 13. What is the degree of this polynomial function? 3x – 5x 2 + x 4 .

A. 3 B. 4 C. 1 D. 2 ____ 14. Use the cut-point method to find the solution set of the following inequality:(x + 4)(x – 5)(4x + 1) ≥ 0. What are the cut points? A. – 4, – 5, B. – 4, 5, – C. – 4, 5, D. – 4, – 5, – ____ 15. What is the y-intercept of the function f (x) = x 3 + 2x 2 – 5x – 6? A. (0, 5) B. (0, 6) C. (0, –6) D. (0, –2) ____ 16. Find the real zeros of the following polynomial function: f (x) = x 3 – 8x 2 + 12x – 5. A. 1, B. 1 C. 6, −6, 1 D. 1, ____ 17. Use long division to perform the following division: (x 3 – 2x + 5) ÷ (x 2 + 2). A. x R 4x + 5 B. x R 4x – 5 C. x R −4x – 5 D. x R −4x + 5 Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 4 of 14 Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 5 of 14 ____ 18. What is the solution set to (x + 4)(x – 5)(4x + 1) ≥ 0?

A. { x | x ≤ −4 or − ≤ x ≤ 5 } B. { x | x ≤ −4 or ≤ x ≤ 5 } C. { x | −4 ≤ x ≤ − or x ≥ 5 } D. { x | −4 ≤ x ≤ or x ≥ 5 } ____ 19. What is the horizontal asymptote of f (x) = ? A. y = 0 B. x = 0 C. x = 2 D. y = 2 ____ 20. Find the equation of each line with a slope of , that contains point (−1, 0). A. 3x – 5y + 3 = 0 B. 3x + 5y – 1 = 0 C. 3x + 5y + 3 = 0 D. 3x – 5y – 1 = 0 ____ 21. Which of the following equations is a linear function? A. 2 x – 3 y – 8 = 0 B. 2 x – 4 y 2 = 7 C. y + 7 = D. x 2 = 16 ____ 22. Find the solution set of the inequality, > 0. A. { x | – 2 < x < 3 } B. { x | – 3 < x < 2 } C. { x | x < – 2 or x > 3 } D. { x | x < – 3 or x > 2 } Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 5 of 14 Progress Test 2 - MTHH043060 - - Mar 04, 2024 - Page 6 of 14

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