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) = 4×2 + 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)