# Lesson 5 The Tortoise and the Hare Solidify Understanding

Identify which of the following representations are functions. If the representation is NOT a function, state how you would fix it to make it a function.

### 1.

### 2.

The number of calories you have burned since midnight at any time during the day.

### 3.

### 4.

### 5.

### 6.

The graph in Figure 1 shows time (minutes) on the

### 7.

Which car has the cruise control on (is maintaining at the same speed)? How do you know?

### 8.

Which car is accelerating? How do you know?

### 9.

Identify the interval in Figure 1 where car A has gone farther than car B.

### 10.

The graph of the speed of a third car, Car C, which has an exponential relationship is now shown in the graph (see Figure 2). All 3 cars have the same destination.

#### a.

If the destination corresponds with a distance of

#### b.

If the three cars passed the starting point at the same time, and were racing, would there ever be another time that they would be tied? Explain.

#### c.

Describe the race for these three cars.

### 11.

If the cars are able to proceed beyond a time of

### 12.

On a graph that shows distance versus time, what do you look at in order to find speed?

State the domain and range of each graph. Use interval notation where appropriate.

### 13.

Domain:

Range:

### 14.

Domain:

Range:

### 15.

Domain:

Range:

### 16.

Domain:

Range:

### 17.

Domain:

Range:

### 18.

Domain:

Range:

### 19.

Domain:

Range:

### 20.

Domain:

Range:

### 21.

Are the domains of #19 and #20 the same? Explain.