Lesson 7 More Variation Practice Understanding

Ready

In an experiment, an event is the outcome that we are interested in occurring.

The probability of an event , written as , is defined as

Answer the following questions.

1.

Each letter of the word “S T A T I S T I C S” is written on a card and placed in a box. A card is randomly selected from the box. Find the probability of drawing a card containing the indicated letter.

a.

C

b.

S

c.

I

2.

You roll a standard -sided die. What is the probability that you will roll

a.

a prime number?

b.

an even number?

c.

a number greater than ?

3.

A bag contains red balls, green balls, white balls, and black ball. A ball is randomly selected from the bag. What is the probability of selecting

a.

a red ball?

b.

a white ball?

c.

a yellow ball?

Set

4.

The graph of is given. On the same set of axes, sketch the graph of when and when .

graph of y=1 over xx–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

5.

What do the different values of do to the shape of the graph? Did the location of the asymptotes change?

6.

State the domain of . Did the domain and/or range change when changed? Explain.

7.

Sketch the graph of . Describe the change in the graph and the asymptotes.

graph of y=1 over xx–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

8.

Sketch the graph of . Describe the change in the graph and in the asymptotes.

graph of y=1 over xx–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

9.

What is the solution to the equation defined by the system: ?

10.

Find the solution to the equation defined by the system:

Go

Identify the type of function in each table. Justify your answer.

Choices for types of functions: linear but not direct variation, linear and direct variation, inverse variation, quadratic, and exponential.

11.

12.

13.

14.

15.

16.