# Lesson 11Music to My EarsPractice Understanding

### 3.

Use the tables to label the graphs as and .

### 4.

Compare the growth of the two functions by discussing the three questions.

1. Which function is growing the fastest on the interval between and ?

2. What is happening at ?

3. Which function eventually exceeds the other?

## Set

### 5.

Marian works as a trainer for dogs. One of the tricks she has the dogs do is run through an obstacle course. As a prize for running the course successfully, she gives them a treat at the end. She is wondering if the type of treat will impact how fast the dogs get through the course. To test this, she randomly separates her into groups of and times how many seconds it takes to race through the course to get the treat at the end. The results are given below.

Group A

 $37$ $39$ $45$ $42$ $40$

Group B

 $35$ $43$ $34$ $37$ $39$

Is there convincing evidence the type of treat at the end of the course impacts the times of the dogs? Design and carry out a simulation to answer this question.

## Go

### 6.

Fill in the blanks to complete the definition of the inverse sine function.

The equation means “find the , on the interval , such that .”

### 7.

Sketch a graph of .

### 8.

Explain why the range of the inverse sine function is .

### 9.

Explain why the range of the inverse cosine function is .

### 10.

Sketch a graph of .

### 11.

Sketch the graph of . Sketch in your asymptotes with dotted lines.

### 12.

Sketch a graph of .