Interval & Set Notation CW

Interpret f(3) = 80 using the graph provided.

Choose 2.

• At 3 hours after the first reading (which was at 8 AM), the temperature was 80°F.

• At 8 hours after the first reading, the temperature was 3°F.

• At 3 AM, the temperature was 80°F.

• At 80 hours after the first reading, the temperature was 3°F.

• At 11 am, the tempteratre was 80°F.

Where did the temperature begin? How hot did it get?

• The temperature began at 40°F and the highest temperature recorded was 80°F.

• The temperature began at 60°F and the highest temperature recorded was 90°F.

• The temperature began at 50°F and the highest temperature recorded was 70°F.

• The temperature began at 30°F and the highest temperature recorded was 60°F.

What time did they begin to record the temperature? Use the graph provided.

• They began recording the temperature at 8 AM (0 hours since first reading).

• They began recording the temperature at 9 AM (1 hour since first reading).

• They began recording the temperature at 10 AM (2 hours since first reading).

• They began recording the temperature at 7 AM (−1 hour since first reading).

• They began recording the temperature at 0 AM

At what time did they stop recording the temperature? Use the graph provided. Choose 2

• They stopped recording the temperature at 10 hours after 8 AM, which is 6 PM.

• They stopped recording the temperature at 8 hours after 8 AM, which is 4 PM.

• They stopped recording the temperature at 12 hours after 8 AM, which is 8 PM.

• They stopped recording the temperature at 6 hours after 8 AM, which is 2 PM.

• They stopped recording the temperature at 6 pm.

Categorize the intervals.

Groups:

(a) Intervals of Increase

,

(b) Intervals of Decrease

,

(c) Domain

,

(d) Range

What does the domain mean in context of the graph?

• The domain represents the time (in hours) since the first reading at 8 AM to 6 pm

• The domain represents the temperature values recorded throughout the entire day.

• The domain represents the number of readings taken during the day.

• The domain represents the time (in minutes) since the first reading at 8 AM.

• The domain represents the temperature recorded.

What does the range mean in context of the graph?

• The range represents the temperatures recorded.

• The range represents the days recorded.

• The range represents the average temperature.

• The range represents the difference between the highest and lowest temperatures.

• The range represents the hours since first reading at 8 am.

Express the following interval in Set notation:
[3, 5]

• { x  | 3 ≤ x ≤ 5 }
• { x  | 3 < x < 5 }
• { x  | 3 ≤ x ≥ 5 }
• { x | 3 < x > 5 }

• (-1, 4)

• [-1, 4]

• (-1, 4]

• [-1, 4)

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

• [ ]

• ( )