Lesson 11 Music to My Ears Practice Understanding

Ready

1.

2.

3.

Use the tables to label the graphs as and .

two curved lines on a coordinate plane x222444666y200020002000400040004000600060006000800080008000100001000010000

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

Group B

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 .

a blank coordinate plane –4–4–4–3–3–3–2–2–2–1–1–1111222333444–π–π–π–π / 2–π / 2–π / 2π / 2π / 2π / 2πππ000

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 .

a blank coordinate plane –4–4–4–3–3–3–2–2–2–1–1–1111222333444–π–π–π–π / 2–π / 2–π / 2π / 2π / 2π / 2πππ000

11.

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

a blank coordinate plane –2π–2π–2π–π–π–ππππ–2–2–2222000

12.

Sketch a graph of .

a blank coordinate plane –4–4–4–3–3–3–2–2–2–1–1–1111222333444–π–π–π–π / 2–π / 2–π / 2π / 2π / 2π / 2πππ000