In order to gain popularity amongst high school students the local coffee shop is delivering coffee to sell at lunch. Below is a function that represents the prices of coffee where t is the days since January 10th.

Piecewise function
c(t) =
2; 1<= t<=3
2 +t; 3<= t<=4
5; t =>4


1 What are the various prices of coffee?
= 3, 2 + t, 5

2. Which domain does the 4th day fit in?

3. How much is coffee on the 4th day?
2 + 4 = 6

4. Which domain does the 5th day fit in? How much would the coffee be?
t=>4
=$5

5. What does c (3) mean?
c(3) = $3

6. What days does the coffee cost $2?
Days 3
7. What would be the cheapest day(s) to buy a coffee?

8. What is the most expensive day(s) to buy a coffee?

9. What is the value of c(3) - c(1)