Precalculus

Homework Ch. 1.4-1.6 Name: __________________________ Date: _____________ 1. Does the table describe a function? A) no B) yes 2. Does the table describe a function? A) yes B) no 3. Which set of ordered pairs represents a function from P to Q? P = {3, 6, 9, 12} Q = {–4, –2, 0} A) {(3, –4), (6, –2), (6, 0), (9, –2), (12, –4)} B) {(9, –4), (9, –2), (9, 0)} C) {(9, –2), (6, –4), (3, –2), (6, 0), (9, –4)} D) {(6, –2), (9, 0), (12, –2)} E) {(3, 0), (9, –2), (3, –4), (9, 0)} 4. Evaluate the function at the specified value of the independent variable and simplify. g (y) = 6y + 2 g (–0.9) A) –5.4y + 12 B) –7.4 C) –3.4 D) –0.9y + 2 E) –0.9y – 2 5. Evaluate the function at the specified value of the independent variable and simplify. f (x – 1) A) B) C) D) E) 6. Find all real values of x such that f (x) = 0. A) B) C) D) E) 7. Find the value(s) of x for which f (x) = g (x). f (x) = x2 + 5x – 18 g (x) = 4x – 6 A) –18, –23, B) –18, 5, C) 3, –4 D) –3, 4 E) 13, 8. Find the domain of the function. A) all real numbers B) all real numbers , C) all real numbers D) s = –6, s = 0 E) s = –6 9. Find the difference quotient and simplify your answer. f (x) = 4x2 + 3x, , h? 0A) 5 + h B) C) D) 3 + 4h E) 11 + 4h 10. A rectangle is bounded by the x-axis and the semicircle (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function. –9 9 A) , –9?x?9B) , x??0C) , –9?x?9D) , all real numbersE) , x??0 11. Use the Vertical Line Test to determine in which of the graphs y is not a function of x. A) x B) x C) x D) x E) All of the choices (A, B, C, and D) represent functions. 12. Find the zeroes of the functions algebraically. A) x = 3, x = –7, B) x = 3, x = –7 C) D) x = –3, x = 7 E) x = –3, x = 7, 13. Determine the intervals over which the function is increasing, decreasing, or constant. A) B) C) D) E) 14. Graph the function and determine the interval(s) for which f (x) ? 0. f (x) = –x2 – 2x A) B) C) D) E) {–2} 15. Determine whether the function is even, odd, or neither. A) B) C) 16. Evaluate the function for the indicated values. (i) f (1) (ii) f (–5.5) (iii) f A) (i) 24 (ii) –5 (iii) 19 B) (i) 24 (ii) –5 (iii) 23 C) (i) 23 (ii) –1 (iii) 23 D) (i) 23 (ii) –1 (iii) 19 E) (i) 23 (ii) –5 (iii) 19 17. Which function does the graph represent? A) B) C) D) E) 18. Which graph represents the function? A) B) C) D) E) Answer Key 1. A 2. A 3. D 4. C 5. A 6. B 7. C 8. A 9. E 10. A 11. D 12. D 13. B 14. B 15. C 16. E 17. B 18. C