1. FUNCTIONS REVIEW PRE-CALCULUS UNIT 1 REVIEW

2. STANDARD 1: DESCRIBE SUBSETS OF REAL NUMBERS What are the categories? Where would these be placed? 7, 6, -1.5, 7 √3, 4, -12

3. STANDARD 2: IDENTIFY AND EVALUATE FUNCTIONS AND STATE THEIR DOMAIN AND RANGE

4. STANDARD 3: USE GRAPHS OF FUNCTIONS TO ESTIMATE FUNCTION VALUES Find f(-.5) Find f(-3.5)

5. STANDARD 4: IDENTIFY ODD AND EVEN FUNCTIONS Even, odd, or neither? F(x) = 3x² + 15 G(x) = -12x³ -.5x² - 1

6. STANDARD 5: USE LIMITS TO DETERMINE THE CONTINUITY OF A FUNCTION Determine if the function is continuous at the given point. F(x) = -.5x³ +1.5x² -2.5 at f(-2)

7. STANDARD 6: USE LIMITS TO DESCRIBE THE END BEHAVIOR OF FUNCTIONS What is the end behavior of the following function? (IE as x  ∞ and as x  - ∞ F(x) = 3x² - 12x³ + 15

8. STANDARD 7: FIND INTERVALS OF INCREASING, DECREASING, AND ABSOLUTE AND RELATIVE MAX AND MINS

9. STANDARD 8: DETERMINE THE AVERAGE RATE OF CHANGE OF A FUNCTION Find average rate of change of the function F(x) = 3x² - 12x³ + 15 from [-2, 2]

10. STANDARD 9: IDENTIFY, GRAPH AND DESCRIBE PARENT FUNCTIONS Graph the parent function of the following: Linear Quadratic Cubic Absolute Value

11. STANDARD 10: IDENTIFY AND GRAPH TRANSFORMATIONS OF FUNCTIONS Graph the following F(x) = (x + 2)² - 6 G(x) = │ x - 4 │ + 1 H(x) = 3x + 4

12. STANDARD 11: PERFORM OPERATIONS WITH FUNCTIONS If f(x) = -2x² + 1 and g(x) = 4x³ + 2x What is f(x) + g(x)? What is f(x) – g(x)? What is f(x) ● g(x)?

13. STANDARD 12: FIND COMPOSITIONS OF FUNCTIONS If f(x)= 4x³ + 2x + 1 and g(x) = x- 7 What is f(g(x))? What is g(f(x))?

14. STANDARD 13: USE THE HORIZONTAL LINE TEST TO DETERMINE WHETHER A FUNCTION HAS AN INVERSE Do the graphs have inverses?

15. STANDARD 14: FIND INVERSE FUNCTIONS ALGEBRAICALLY AND GRAPHICALLY