Problem 1 :
Identify the values of the domain for the following relation :
A) {-2, 0, 1, 3} B) {-3, -2, 0, 1, 2}
C) {-2, -1, 0, 1, 2, 3} D) {-3, 0, 1, 2}
Solution :
From the given graph,
A (2, 1), B (-3, -2), C (0, 3) and D (1, 0)
The domain of a relation is the set of x values of the ordered pairs.
Domain = {2, -3, 0, 1}
Domain = {-3, 0, 1, 2}
So, option (D) is correct.
Problem 2 :
Identify the values for the domain of the function :
A) {-2, -1,
0, 1, 2}
B) {(1, -2), (-1, -1), (2, 0), (1, 1), (2, 2)}
C) {-1, 1, 2}
D) {(-2, 1), (-1, -1), (0, 2), (1, 1), (2, 2)}
Solution :
From the given graph,
A (2, 2), B (1, 1), C (0, 2), D (-2, 1) and (-1, -1)
The domain of a relation is the set of x values of the ordered pairs.
Domain = {2, 1, 0, -2, -1}
Domain = {-2, -1, 0, 1, 2}
So, option (A) is correct.
Problem 3 :
List the range for the following function.
{(2, 3), (4, 5), (3, 4), (7, 8)}
A) {3, 4, 5, 8} B) {2, 3, 4, 7}
C) {2, 3, 4, 5, 7, 8} D) {2, 3, 3, 4, 4, 5, 7, 8}
Solution :
The range of a relation is the set of y values of the ordered pairs.
Range = {3, 5, 4, 8}
Range = {3, 4, 5, 8}
So, option (A) is correct.
Problem 4 :
Identify the values of the range for the following relation :
{(2, 3), (5, 7), (7, 9), (4, 8)}
A) {2, 5, 7, 4} B) {2, 3, 4, 8}
C) {2, 8} D) {3, 7, 9, 8}
Solution :
The range of a relation is the set of y values of the ordered pairs.
Range = {3, 7, 9, 8}
So, option (D) is correct.
Problem 5 :
Identify the range for the following relation :
A) {-2, -1, 3, 5} B) {-1, 0, 4, 7}
C) {-2, -1, 0, 3, 4, 5, 7} D) {0, 1, 4, 7}
Solution :
Range = {4, 0, -1, 7}
So, option (B) is correct.
Problem 6:
To graph the equation y = 3x - 7,
Renita created the following table of values.
Which y
-value corresponds to 7?
A) 21 B) 28 C) 14 D) -4
Solution :
y = 3x - 7
Put x = 7,
y = 3(7) - 7
y = 21 - 7
y = 14
So, option (C) is correct.
Problem 7 :
A relation is graphed as shown.
Find all the
values that are in the domain of this relation.
Solution :
From the given graph,
(1, 6), (3, 3), (4, 2), (6, 5)
Domain = {1, 3, 4, 6}
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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