Lesson Worksheet: Domain and Range of a Function Mathematics
In this worksheet, we will practice identifying the domain and range of functions from their equations.
Q4:
If , where , find the range of .
- A
- B
- C
- D
Q7:
Determine the range of the function in the given figure.
- A
- B
- C
- D
- E
Q8:
Determine the domain of the function represented in the graph below.
- A
- B
- C
- D
- E
Q9:
Determine the domain of the function .
- A
- B
- C
- D
Q10:
Determine the domain of the function .
- A
- B
- C
- D
- E
Q11:
Determine the range of the function represented in the figure below.
- A
- B
- C
- D
Q13:
Given the function , answer the following.
Evaluate .
Evaluate .
Evaluate .
- A3
- B7
- C1
- D is not defined at 0.
- E2
What is the domain of ?
- A
- B
- C
- D
- E
What is the range of ?
- A
- B
- C
- D
- E
Solve .
- A or
- B or
- C or
- D
- E or
What is the solution set of ?
- A
- B
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- D
- E
What is the solution set of ?
- A
- B
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- E
Q14:
Determine the domain and the range of the function .
- AThe domain is , and the range is .
- BThe domain is , and the range is .
- CThe domain is , and the range is .
- DThe domain is , and the range is .
- EThe domain is , and the range is .
Q15:
Functions and have the same domain {1, 2, 3, 4}. Which of the following statements must be true?
- The range of has at most 4 elements.
- The range of has elements, where = the size of the range of and = the size of the range of .
- The range of has at least 1 element.
- Aa only
- Ba and c
- Cb only
- Dc only
Q16:
What is the range of the function on the domain (which is the domain of all of the integers)?
- Aall the integers
- Ball the numbers of the form where is an integer
- CWe cannot tell the range because we do not know the codomain.
- Dall the positive integers
- Eall the rational numbers
Q18:
If , where , find the range of .
- A
- B
- C
- D
Q19:
Given that and , where the graph of the function can be represented by , determine its range.
- A
- B
- C
- D
- E
Q20:
, , and is a relation from to , where means that for each and . Determine the relation , state whether it represents a function or not, and write its range if it is a function.
- A, a function from to , range
- B, a function from to , range
- C, not a function from to
- D, not a function from to
Q21:
For two sets and , a function exists from to . Also, , , and means is a multiple of . If , , and , find the range of the function.
- A
- B
- C
- D
- E
Q22:
If is a function from the set to the set , which set contains the range of ?
- A
- B
Q23:
is a function from to , where means that is divisible by for each and . If , , and , determine the range of the function.
- A
- B
- C
- D
Q24:
, , is the set of natural numbers, and is a function from to where means . Given that and , write the range of the function.
- A
- B
- C
- D
Q25:
If , where , find the range of .
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- E