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Math I: Unit 3 Name _______________________________________________
3C Domain and Range Worksheet
Use inequality notation to describe the domain and range:
Function Notation Practice
1) If [pic], then find
a. [pic]
b. [pic]
c. x such that [pic]
2) If [pic], then find
a. [pic]
b. [pic]
c. [pic]
3) If [pic], then find
a. [pic]
b. x such that [pic]
c. x such that [pic]
4)
4 – 8: Find the maximum and minimum x and y values for the situation. Sketch a small graph. State the domain and range.
5) The cab fare is given by the equation F = 4m + 10 where m is the number of miles. Kayla rode 8 miles in the cab.
What is the maximum miles? __________
What is the minimum miles? __________
What is the maximum fare? __________
What is the minimum fare? __________
What is the DOMAIN? What is the RANGE?
The cab fare is given by the equation F = 3m + 8 where m is the number of miles. Jackson spent $41 on his cab ride.
What is the maximum miles? __________
What is the minimum miles? __________
What is the maximum fare? __________
What is the minimum fare? __________
What is the DOMAIN? What is the RANGE?
6) Jack is having a birthday party and hopes to invite about 20 people. A caterer charges $40 plus $5 per person.
What is function, F(n) that describes the caterer’s charge per person?
What is the maximum people? __________
What is the minimum people? __________
What is the maximum charge? __________
What is the minimum charge? __________
What is the DOMAIN? What is the RANGE?
7) Everyday, two new flowers appear in the garden. At the beginning, there were 6 flowers. Mrs. Smith looks at her garden 9 days later. (Let x represent the number of days.)
What is function, F(x), that describes number of flowers in the garden each day?
What is the maximum days? __________
What is the minimum days? __________
What is the maximum flowers? __________
What is the minimum flowers? __________
What is the DOMAIN? What is the RANGE?
8) Jackson has $1.50 in quarters and dimes. Let x represent the number of quarters and y represent the number of dimes.
a. What are combinations of Quarters and Dimes that will make $1.50?
|QUARTERS | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
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For the graph of f(x):
1. Find f(2)
2. Find x such that f(x) = 9
3. Find the y-intercept.
4. What is the DOMAIN? (Left and Right)
5. What is the RANGE? (Up and Down)
1
2
3
4
5
8
-2
-1
3
1
4
5
2
6
7
-1
9
8
6
9
10
7
10
1
2
3
4
5
- 3
-2
-1
3
1
4
5
2
-5
-4
-3
-5
-2
-1
-4
6
-6
-6
6
For the graph of f(x):
1. Find f(1)
2. Find x such that f(x) = 2
3. What is the DOMAIN? (Left and Right)
4. What is the RANGE? (Up and Down)
1
2
3
4
5
8
-2
-1
3
1
4
5
2
6
7
-1
9
8
6
9
10
7
10
For the graph of f(x):
1. Find f(3)
2. Find x such that f(x) = 3
3. Find the x-intercept.
4. What is the DOMAIN? (Left and Right)
5. What is the RANGE? (Up and Down)
5
10
15
20
25
40
0
6
2
8
10
4
30
35
45
12
14
50
5
10
15
20
25
40
0
6
2
8
10
4
30
35
45
12
14
50
20
40
60
80
100
160
0
15
5
20
25
10
120
140
180
30
35
200
3
6
9
12
15
24
0
9
3
12
15
6
18
21
27
30
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