Download 2-1-2-3 - Math Nat

2.1-2.3
Name___________________________________
Determine whether the relation represents a function. If it is a function, state the domain and range.
1) {(5, -2), (1, -1), (1, 0), (2, 1), (10, 3)}
A) function
B) function
C) not a function
domain: {5, 2, 1, 10}
domain: {-2, -1, 0, 1, 3}
range: {-2, -1, 0, 1, 3}
range: {5, 2, 1, 10}
2) {(-2, -7), (0, 5), (5, 0), (6, -1)}
A) function
domain: {-7, 5, 0, -1}
range: {-2, 0, 5, 6}
B) function
domain: {-2, 0, 5, 6}
range: {-7, 5, 0, -1}
C) not a function
Determine whether the equation defines y as a function of x.
3) y = 4x2 - 9 x + 9
A) function
B) not a function
4) y 2 = 6 - x2
A) function
B) not a function
Find the value for the function.
5) Find f(-4) when f(x) = x2 - 3 x + 1.
A) 29
B) 27
C) 5
D) 3
6) Find f(x + h) when f(x) = 4x + 9 .
3x + 4
A)
4x + 4h + 9
3x + 4
B)
4x + 9 h
3x + 4h
C)
4x + 13 h
3x + 7h
D)
4x + 4h + 9
3x + 3 h + 4
Find the domain of the function.
x
7) g(x) =
2
x - 49
A) {x|x ≠ 0}
8) f(x) = 23 - x
A) {x|x ≠ 23}
9)
B) all real numbers
C) {x|x ≠ -7, 7}
D) {x|x > 49}
B) {x|x ≤ 23}
C) {x|x ≠
D) {x|x ≤
B) all real numbers
C) {x|x ≠ 6}
23}
x
x-6
A) {x|x > 6}
1
D) {x|x ≥ 6}
23}
For the given functions f and g, find the requested function and state its domain.
10) f(x) = x; g(x) = 5x - 4
Find f .
g
A)
f
x ;
(x) =
g
5x - 4
C)
f
(x) = 5x - 4 ; {x|x ≥ 0}
g
x
x|x ≥ 0, x ≠
4
5
B)
f
x ; {x|x ≠ 0}
(x) =
g
5x - 4
D)
f
x ;
(x) =
g
5x - 4
x|x ≠
4
5
The graph of a function f is given. Use the graph to answer the question.
11) For what numbers x is f(x) > 0?
10
10
-10
-10
A) (-6, ∞)
B) [-10, -6), (7, 10)
C) (-∞ -6)
D) (-6, 7)
The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
12) (2, ∞)
y
10
5
-10
-5
5
10 x
-5
-10
A) decreasing
B) constant
2
C) increasing
Use the graph to find the intervals on which it is increasing, decreasing, or constant.
13)
A)
B)
C)
D)
Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1)
Increasing on (-3, -2) and (2, 4); decreasing on (-1, 1); constant on (-2, -1) and (1, 2)
Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1); constant on (-2, -1) and (1, 2)
Decreasing on (-3, -1) and (1, 4); increasing on (-2, 1)
3
Answer Key
Testname: (170) 2.1-2
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
C
B
A
B
A
D
C
B
A
A
B
A
C
4