Q1
6 Points
Define the function f as follows:
⎧
⎪x − 2 , if x < 2
f (x) = ⎨3 , if x = 2
⎪ 2
⎩
x +1 , if x > 2
Q1.1
2 Points
Find f (2).
3
Q1.2
2 Points
Find f (5).
26
Q1.3
2 Points
Find f (−1) + f (4).
14
, Q2
6 Points
−2x2 + 5
Find the limit of y = as x → ∞.
3x3 − 1
−2x2 + 5
As x → ∞, →∞
3x3 − 1
−2x2 + 5
As x → ∞, → −∞
3x3 − 1
−2x2 + 5 2
As x → ∞, → −
3x3 − 1 3
−2x2 + 5
As x → ∞, →0
3x3 − 1
−2x2 + 5
As x → ∞, →5
3x3 − 1
The limit does not exist
Q3
7 Points
f
Find the domain of the function given the following.
g
1. The domain of f is [5, 17).
2. f (8)= 0 and f (x) < 0 whenever x =
8.
3. The domain of g is (0, 9].
4. g(6) = 0, and g(x) > 0 whenever x =
6.
[5, 6]
[5, 9]
(0, 17)
(0, 5] ∪ [9, 17)
[5, 6) ∪ (6, 9]
6 Points
Define the function f as follows:
⎧
⎪x − 2 , if x < 2
f (x) = ⎨3 , if x = 2
⎪ 2
⎩
x +1 , if x > 2
Q1.1
2 Points
Find f (2).
3
Q1.2
2 Points
Find f (5).
26
Q1.3
2 Points
Find f (−1) + f (4).
14
, Q2
6 Points
−2x2 + 5
Find the limit of y = as x → ∞.
3x3 − 1
−2x2 + 5
As x → ∞, →∞
3x3 − 1
−2x2 + 5
As x → ∞, → −∞
3x3 − 1
−2x2 + 5 2
As x → ∞, → −
3x3 − 1 3
−2x2 + 5
As x → ∞, →0
3x3 − 1
−2x2 + 5
As x → ∞, →5
3x3 − 1
The limit does not exist
Q3
7 Points
f
Find the domain of the function given the following.
g
1. The domain of f is [5, 17).
2. f (8)= 0 and f (x) < 0 whenever x =
8.
3. The domain of g is (0, 9].
4. g(6) = 0, and g(x) > 0 whenever x =
6.
[5, 6]
[5, 9]
(0, 17)
(0, 5] ∪ [9, 17)
[5, 6) ∪ (6, 9]
