Relations and Functions

Open Ended

Identify the domain & range.

Open Ended

Identify the domain & range.

Open Ended

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

1. A bowler pays ​$4.25​ per game.

Open Ended

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

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

Multiple Select

3. Is the relation a function? Is it one-to-one?

• Yes, it is a function.

• No, it is not a function.

• Yes, it is one-to-one.

• No, it is not one-to-one.

Multiple Select

3. Is the relation a function? Is it one-to-one?

• Yes, it is a function.

• No, it is not a function.

• Yes, it is one-to-one.

• No, it is not one-to-one.

Open Ended

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.

Open Ended

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

Open Ended

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. 

Open Ended

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.

Open Ended

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

Open Ended

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

Open Ended

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)}​

Draw

5. ​Each day Jacob records the number of laps and the distance he walks, in miles, on a track.

7. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
   ​

8. {(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)} 

Open Ended

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