1. Which of the following functions of x has the
apparent Domain of {x: x ≥ 0}
A.
C.
Domain and Range
Question # 43
B.
3.2.5 Determine domain and
range for a function.
Test index
Return to
test
Last
slide
worksheets
Test index
Domain and Range
Help
continued
Return to
test
Last
slide
worksheets
Example
Which of the following functions of x has the apparent range of {y: y ≤0}
A.
C.
range
range
{y: y ≥ 0}
{y: y ≤ 2}
Domain
domain
{x: x ≤0}
{x: x = R}
B.
A. -3 ≤ y
B. 0 ≤ y ≤ 2
C. 0 ≤ x ≤ 3
D. -3 ≤ x ≤ 3
Test index
3.
range
{y: y = R}
{x: x ≥ 0}
domain
What is the domain of the relationship below?
A. Domain: {-2, -1, 2, 3, 4}
•
•
•
•
B. Domain: {-4, -2, -1, 2, 3}
range
{y: y ≤0}
worksheets
Last
slide
•
When you use x or y = R, you are saying the
domain or range uses all REAL numbers.
domain
worksheets
Last
slide
2. What is the domain of the relationship below?
The domain lists all the given x-values for a
given function.
The range lists all the given y-values for a
given function.
Hint (alphabetically domain comes before
range, and x comes before y).
If the function is a line or a line segment you
will need to use inequalities <,>, ≤,≥
If the function is a set of points, use set
notation, Domain: {-3, -2, 0, 1, 4}
Test index
D.
C. {x: -4 ≤ x ≤ 3}
D. {y: -2 ≤ y ≤ 4}
{x: x = R}
Test index
Last
slide
worksheets
Return to
test
Test index
Last
slide
worksheets
1
4. If f(x) = 2x – 5 and the domain is
{1, 2, 3, 4}, what is the range?
7. What is the domain of the relationship
below?
A. {-3, -1, 1, 3}
A. -3 ≤ x
B. {2, 4, 6, 8}
B. 0 ≤ y ≤ 2
C. {-2, -1, 0, 1}
C. 0 ≤ x ≤ 3
D. {-8, -6, -4, -2}
Test index
D. -3 ≤ x ≤ 3
worksheets
Last
slide
5. Which of the following functions of x has the
apparent range of {y: y ≥ 0}
A.
C.
Test index
worksheets
Last
slide
8. What is the Range of the relationship
below?
•
•
A. Range: {-2, -1, 2, 3, 4}
B.
D.
•
•
•
B. Range: {-4, -2, -1, 2, 3}
C. {x: -4 ≤ x ≤ 3}
Test index
worksheets
Last
slide
6. Which of the following functions of x has the
apparent Domain of {x: x ≤ 0}
A.
C.
D. {y: -2 ≤ y ≤ 4}
Test index
Last
slide
worksheets
9. What is the domain of the relationship
below?
A. -3 ≤ y
B.
B. 0 ≤ y ≤ 2
D.
C. 0 ≤ x ≤ 3
D. -3 ≤ x ≤ 3
Test index
Last
slide
worksheets
Test index
Last
slide
worksheets
2
10. Which of the following functions of x has the
apparent Domain of {x: x = R}
A.
C.
13. Which of the following functions of x has the
apparent domain of {x: x ≥ -5}
A.
C.
B.
B.
Test index
D.
worksheets
Last
slide
11. If f(x) = -x + 1 and the domain
is {0, 1, 2, 3}, what is the range?
Test index
D.
worksheets
Last
slide
14. Which of the following functions of x has the
apparent range of {y: y ≤ 2}
A.
C.
A. {-3, -1, 1, 3}
B. {2, 4, 6, 8}
B.
C. {-2, -1, 0, 1}
D.
D. {-8, -6, -4, -2}
Test index
worksheets
Last
slide
12. Which of the following functions of x has the
apparent range of {y: -5 ≤ y ≤ 3}
A.
C.
Test index
worksheets
Last
slide
15. What is the range of the relationship
below?
•
•
•
A. Range: {-2, -1, 2, 3, 4}
B. Range: {-4, -2, -1, 2, 3}
B.
D.
•
•
C. {x: -4 ≤ x ≤ 3}
D. {y: -2 ≤ y ≤ 4}
Test index
Last
slide
worksheets
Test index
Last
slide
worksheets
3
16. What is the domain of the relationship
below?
19. If f(x) = -2x and the domain is
{1, 2, 3, 4}, what is the range?
A. {-3, -1, 1, 3}
A. -3 ≤ y
B. {2, 4, 6, 8}
B. 0 ≤ y ≤ 2
C. {-2, -1, 0, 1}
C. 0 ≤ x ≤ 3
D. {-8, -6, -4, -2}
D. -3 ≤ x ≤ 3
Test index
worksheets
Last
slide
Test index
17. If f(x) = 2x and the domain is
{1, 2, 3, 4}, what is the range?
A. {-3, -1, 1, 3}
Answers to question #43
Domain and range
1. A
6. A
11. C
16. C
B. {2, 4, 6, 8}
worksheets
Last
slide
2. D
7. A
12. D
17. B
3. B
8. A
13. D
18. B
4. A
9. D
14. C
19. D
5. A
10. C
15. D
C. {-2, -1, 0, 1}
D. {-8, -6, -4, -2}
Test index
worksheets
Last
slide
Test index
Last
slide
worksheets
18. What is the domain of the relationship
below?
•
•
A. domain: {-2, -1, 2, 3, 4}
B. domain: {-4, -2, -1, 2, 3}
•
•
•
C. {x: -4 ≤ x ≤ 3}
D. {y: -2 ≤ y ≤ 4}
Test index
Last
slide
worksheets
4