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Using Function Notation with a Real-World Example

4.3.4 Using Function Notation with a Real-World Example

4.3.4 • Using Function Notation with a Real-World Example

Cool Down

An art museum opens at 9 a.m. and closes at 5 p.m. The function VV gives the number of visitors in the museum hh hours after it opens.

1.

Explain what this statement tells us about the situation: V(1.25)=28V(1.25)=28.

Compare your answer:

An hour and 15 minutes after the museum opened (at 10:15 a.m.), there were 28 visitors in the building.

2.

Use function notation to represent each statement:

a. At 1 p.m., there were 257 visitors in the museum.

b. At the time of closing, there were no visitors in the museum.

Compare your answer:

a. V(4)=257V(4)=257

b. V(8)=0V(8)=0

3.

Use the previous statements about the visitors in the museum to sketch a graph that could represent the function.

Compare your answer:

Line graph showing number of visitors over 10 hours, peaking at 280 visitors at hour 6. Points (1.25, 28), (4, 257), (8, 0) are marked.

Your graph should show points at (1.25,28)(1.25,28) and (4,257)(4,257), with or without lines connecting these points.