Lesson 12
Functions with Multiple Parts
- Let’s look at domains that have boundaries.
12.1: Notice and Wonder: Ticket Price
What do you notice? What do you wonder?
| age | ticket cost |
|---|---|
| 0–2 | FREE |
| 2–5 | $2.00 |
| 5–12 | $5.00 |
| 13–16 | $7.50 |
| 17–50 | $10.00 |
| 55 and up | $5.00 |
12.2: Group Ticket Cost
A community orchestra charges different amounts for tickets to shows based on the age of the person attending. A sign in front of the box office where tickets are sold shows the prices.
| age | ticket cost |
|---|---|
| 0–2 | FREE |
| 3–13 | $4.00 |
| 14–18 | $6.00 |
| 19–25 | $9.00 |
| 26–54 | $10.00 |
| 55 and up | $6.00 |
- How much does each group need to pay for their tickets?
- 2 adults aged 40 and 36, and 2 kids aged 4 and 1
- 3 adults aged 74, 37, and 36
- 5 adults in their 30s and 25 students aged 15 and 16
- 1 adult aged 25 and 4 kids aged 1, 9, 13, and 16
- A mother arrives and tells the box office clerk that her child is 35 months old. How much should the clerk charge for the child?
- If there is a rule that uses the age of a person attending the orchestra concert as the input and outputs the ticket price for that person, is that rule a function? Explain your reasoning.
- What is the domain for the rule?
- What is the range for the rule?
12.3: A Light Trip
-
Noah leaves his home, sometimes running, sometimes walking, sometimes stopping until he remembers that he doesn’t have his wallet, then he goes back home. A graph representing his journey is shown in the graph.
- Describe what is happening on the domain \(210 < x < 400\).
- What are the domain intervals that represent the times when Noah was running?
- What are the domain intervals that represent the times when Noah was stopped?
- What are the domain intervals that represent the times when Noah was walking away from home?
- The amount of light in a room is shown as a function of the number of hours after midnight. Describe what might be happening in the room. Be sure to use intervals within the domain in your description.
