Relations and Functions

Identify the domain & range.

Identify the domain & range.

2. Identify a reasonable domain and range for the situation & explain.

1. A bowler pays ​$4.25​ per game.

2. Identify a reasonable domain and range for the situation & explain.

1. ​A car travels 25 miles using 1 gallon of gas.

4. ​It costs Margaret between ​$20​ and ​$25​ to fill the gas tank of her car. She fills the tank once or twice a month. Margaret maps the number of times she fills the tank to the total she spends on gas.

6. What are the constraints on the domain and the range? Use notation to represent the domain.

1. Why are domain and range important when defining a function?

1. Maya is tracking the amount of rainfall during a storm. Describe the domain and range for this situation. Include continuous or discrete in your description. 

1. What can you conclude about the domain and the range of a function if a vertical line at ​x = 5​ passes through 2 points? 1 point? No points? Explain.

1. Felipe states that every relation is a function, but not every function is a relation. Explain Felipe’s error.

5. ​Use the graph to determine the domain and range of this relation. Is the relation a function?

5. ​For the set of ordered pairs shown, identify the domain and range. Does the relation represent a function?
   ​{(1, 8), (5, 3), (7, 6), (2, 2), (8, 4), (3, 9), (5, 7)}​

Is distance that Jacob walks a function of the number of laps? How do you know?