4.13.6 Practice

Complete the following questions to practice the skills you have learned in this lesson.

1. The graph of function $H$ shows the height, in meters, of a rocket $t$ seconds after it was launched.
   
   
   1. Find $H(0)$ in meters.

2. Which of the following describes the domain of this function?

1. $15\le x\le 35$
2. $0\le x\le 2$
3. $0\le x\le 4.5$
4. $0\le x\le 35$

3. Which of the following describes the range of this function?

1. $15\le <!--\; \le \; -->\mathrm{y}\le <!--\; \le \; -->35$
2. $0\le <!--\; \le \; -->\mathrm{y}\le <!--\; \le \; -->2$
3. $0\le <!--\; \le \; -->\mathrm{y}\le <!--\; \le \; -->4.5$
4. $0\le <!--\; \le \; -->\mathrm{y}\le <!--\; \le \; -->35$

2. Which of the following describes the domain of the function graphed below?

1. $2\le <!--\; \le \; -->x\le <!--\; \le \; -->4$
2. $2\le <!--\; \le \; -->x\le <!--\; \le \; -->7$
3. $0\le <!--\; \le \; -->x\le <!--\; \le \; -->4$
4. $0\le <!--\; \le \; -->x\le <!--\; \le \; -->9$

3. Which of the following describes the range of the graph below?

1. $2\le <!--\; \le \; -->x\le <!--\; \le \; -->7$
2. $2\le <!--\; \le \; -->y\le <!--\; \le \; -->7$
3. $2\le <!--\; \le \; -->x\le <!--\; \le \; -->4$
4. $2\le <!--\; \le \; -->y\le <!--\; \le \; -->4$

4. Select four of the values of the range for the function $h$, graphed below.

1. -5
2. -3
3. -2
4. 0
5. 2
6. 4
7. 5

5. Which of the following is the domain of the function graphed below?

1. $-<!--\; -\; -->5\le <!--\; \le \; -->y\le <!--\; \le \; -->7$
2. $-<!--\; -\; -->5\le <!--\; \le \; -->y\le <!--\; \le \; -->5$
3. $-<!--\; -\; -->5\le <!--\; \le \; -->x\le <!--\; \le \; -->7$
4. $-<!--\; -\; -->5\le <!--\; \le \; -->x\le <!--\; \le \; -->5$

6. Which of the following represents the domain of the function graphed below?

1. $x\ge <!--\; \ge \; -->2$
2. $y\ge <!--\; \ge \; -->2$
3. $x\ge <!--\; \ge \; -->5$
4. $y\ge <!--\; \ge \; -->5$

7. Which of the following represents the range of the function graphed below?

1. $x\ge <!--\; \ge \; -->2$
2. $y\ge <!--\; \ge \; -->2$
3. $x\ge <!--\; \ge \; -->5$
4. $y\ge <!--\; \ge \; -->5$