Taibah University, Preparatory Year
MATH 101, First Semester 1435/36 (2014/15)
Min-test (Section 3.1)
Choose the correct answer (a,b,c or d)
1. Which relation defines a function :
(A) E = {(1, 2), (2, 1), (1, 3), (3, 2)}
(C) G = {(2, 2), (3, 3), (1, 3), (3, 1)}
(B) F = {(1, 2), (2, 3), (3, 4), (4, 5)}
(D) H = {(3, 2), (2, 1), (3, 3), (1, 2)}
2. State the domain of the relation {(−2, 4), (−3, −5), (−1, 3), (4, −5), (2, −3)}
(A) {4, −5, 3, −3}
(C) {−2, 4, −3, −5, −1, 3, 4}
(B) {−2, −3, −1, 4, 2}
(D) {4, −5, 3, −3, −2}
3. State the range of the relation {(4, 0), (−1, 5), (2, 4), (4, 2), (−3, 3)}
(A) {−3, 3, 4, 2, −1, 5}
(C) {4, −1, 2, −3}
(B) {4, 0, −1, 5, 2, 3}
(D) {0, 4, 5, 2, 3}
4. Which of the following graphs is the graph of a function
(A)
(B)
(C)
(D)
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5. Which relation defines a function :
(A) x =| y |
(C) y 2 = x + 3
(B) y ≥ 4x − 1
(D) y = x2
6. Determine the domain of the function: y =
x−5
x2 +3x−10
(A) (−∞, −5) ∪ (−5, 2) ∪ (2, ∞)
(C) (−∞, −5) ∪ (−5, 2] ∪ [2, ∞)
(B) (−∞, −5] ∪ [−5, 2) ∪ (2, ∞)
(D) (−∞, −5] ∪ [−5, 2] ∪ [2, ∞)
7. Determine the domain of the function: p(x) =
(A) (−∞, 6]
(C) [6, ∞)
(B) (6, ∞)
(D) (−∞, 6)
√5
6−x
8. Determine the domain of the function: g(x) = x2 − 22x − 10
(A) (−∞, 0]
(C) [0, ∞)
(B) (10, ∞)
(D) (−∞, ∞)
9. Determine the domain of the function:
√
2x + 3
(A) (0, ∞)
(C) [ −3
2 , ∞)
(B) ( −3
2 , ∞)
(D) (−∞, ∞)
10. The domain and range of the following function are:
(A) Domain(−∞, ∞), range [4, ∞) (C) Domain(−2, 0), range (−∞, 4]
(B) Domain[−2, 0], range [0, 4]
(D) Domain(−∞, ∞), range (−∞, 4]
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11. Consider the function f (x) = −2x2 + 4x + 1, find f ( 23 )
(A)
(B)
5
2
−2
3
(C)
(D)
−2
5
2
3
12. Consider the function f (x) = 2x2 − 3, find f (c + 1)
(A) 2c2 + 4c + 1
(C) 2c2 − 4c − 1
(B) 2c2 + 4c − 1
(D) 2c2 − 4c + 1
13. The following function is increasing, decreasing and constant on the
intervals:
(A) Increasing (−∞, 4], decreasing [2, ∞), constant [2, 4]
(B) Increasing [4, ∞), decreasing [2, ∞), constant (2, 4)
(C) Increasing (−∞, 2], decreasing [4, ∞), constant (2, 4)
(D) Increasing [4, ∞), decreasing (−∞, 2], constant [2, 4]
Dr.Gehan Ahmed
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