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Pre-Calc Practice Test: Chapter 1 Name_________________________ 1. Define each of the terms. a. Relation b. Domain d. Function c. Range e. One-to-One Function In questions 2-4 use the function g ( x) = x 2 + 3 x . 2. g(4) 3. g(-2) 4. g(x - 3) Graph y = x3 − 4 x on your graphing calculator and use it to answer questions 5-7. 5. Indicate the intervals 6. List the relative 7. Show a small sketch of where the function is minimum and the relative the graph and explain if it is increasing and/or maximum for the function odd, even, or neither decreasing. In questions 8-10, list the domain and range of each graph. 8. 9. 10. In questions 11-13, use the function 11. Find f(2) f ( x) = 12. Find f(-1) 2 x + 1, x ≤ 0 . x>0 4 13. Find f(0) In questions 14-16, use the functions f ( x ) = 2 x + 3 and g ( x ) = x 2 + 1 . 14. Find (f + g)(x) 15. Find (f/g)(x) 16. Find g(f(x)) In questions 17 and 18, use the functions f ( x ) = 1 − x 2 and g ( x ) = 1 − x . 17. Find f(g(x)) 18. Find g(f(x)) In questions 19-21, find the inverse of each function below if it is one-to-one. If the function is not one-to-one simply state that. 20. g ( x ) = − x + 2 21. h ( x ) = x3 19. f ( x ) = 2 x + 3 In questions 22 & 23, use composites to tell if the functions below are inverses or not. Show All Work. 1 1 3 23. f ( x ) = x 3 − 4 & g ( x ) = 3 x + 4 22. f ( x ) = x − & g ( x ) = ( 2 x + 1) 3 2 2 In questions 24 & 25, are the relations below functions? Explain or show why. 25. y = 2 x + 1 24. x 2 + y 2 = 16