Math 2.1-2.4 Review Answer Key

Pre-Calculus 1. Given f(x) = Quiz 2.1-2.4 REVIEW + 2 , evaluate the following: a) f(-3) 2. Given ( ) = a) f(-4) Name:_______________________________________ Hour:________ b) f(a) if 5 2 − 3 if c) f(x + 1) ≤2 , evaluate the following: >2 b) f(2) c) f(5) Find the domain of each function. Write your answer in interval notation. 3. f(x) = 2x – 5 4. ( )=√ −3 6. The graph of a function f is given. Find: +2 7. Sketch: ( ) = − + 1 −2 5. ( )= ≤ −1 −1< ≤2 >2 a) f(-4) = b) f(-1) = c) f(6) = d) domain of f: e) range of f: 8. The graph of a function f is given. Determine the open intervals on which the function is a) increasing and b) decreasing. 9. The graph of a function is given. Find the average rate of change between the indicated values. 10. Given f(x) = 9 − , find the average rate of change between x = 1 and x = 1 + h. Describe the transformations IN ORDER that would be applied to the graph of f(x). 11. y = 3f(x – 4) + 1 12. y = − f(x + 1) – 6 14. The graph of f and g are given. Find a formula for function g. 13. y = f(-2x) 15. The graph of f is given. Sketch the graph of y = -2f(x – 3) + 1 f(x) = x2 Determine whether the function is even, odd, or neither. 16. 19. ( )= −3 17. 20. ( )=3 +2 18. 21. ( )=2 − Pre-Calculus Quiz 2.1-2.4 REVIEW #2 ANSWER KEY 1a. 3 1b. a2 + 2a 1c. x2 + 4x + 3 2a. 5 2b. 5 2c. 7 3. (− ∞, ∞) 4. [3, ∞) 5. (− ∞, 6) ∪ (6, ∞) 6a. -1 6b. -2 6c. -2 6d. [− 6, 6] 6e. [− 4, 2) 7. 8. Inc: (-5, -4) and (-2, 2) Dec: (-4, -2) 9. − 10. -2 – h 11. shift right 4, vertical stretch by factor of 3, shift up 1 12. shift left 1, vertical shrink by factor of ½, reflect over x-axis, shift down 6 13. horizontal shrink by factor of ½, reflect over y-axis 14. g(x) = −( − 2) + 1 16. Even 19. Odd 20. Even 15. 21. Neither 17. Neither 18. Odd