Chapter 3 Review

Vocabulary

100

This action shifts each point on a graph of a function the same distance vertically.

What is a translation?

200

The set of inputs in a function, the x-values.

What is the domain?

300

The set of outputs in a function, the y-values.

What is the range?

400

An ordered list where the difference between any two consecutive terms is a constant.

What is an arithmetic sequence?

500

A linear function that most closely represents the relationship between points in a scatter plot.

What is a line of best fit? What is a trend line?

Relations + Functions

100

Identify the domain of the following function:

{(-2, -3.5), (0, -1.5), (3, 1.5), (5, 3.5), (9, 7.5)}

(-2, 0, 3, 5, 9)

200

Identify the range of the following function:

{(-2, -3.5), (0, -1.5), (3, 1.5), (5, 3.5), (9, 7.5)}

(-3.5, -1.5, 1.5, 3.5, 7.5)

300

Is the relation a function? Explain.

{(-1, -5), (-5, -2), (4, 0), (0, 3), (2, 2)}

Yes.

400

Is the relation a function?

{(4, 1), (2, 3), (0, 4), (5, 3)}

Yes.

500

A person drinks n ounces of a 20 ounce bottle of a sports drink.

Between 0 and 20 ounces.

Linear Functions

100

A taxi company charges $3.50 plus $0.85 per mile. What linear function can be used to determine the cost of a taxi ride of x miles? How much would a 3.5-mile taxi ride cost?

f(d)=0.85d+3.5

f(3.5)= $6.48

200

How is the function notation f(x) read?

"F of x"

300

Evaluate the function for:

f(-4)=2x-1

f(x)=-9.

400

Let f(x)=2x-1. If g(x)=(2x-1)+3, how does the graph of g compare to the graph of f?

It is translated up 3 units.

500

Given f(x)=4x-5, describe how the graph of g compares with the graph of f.

g(x)=4x-17

The graph is translated 12 units down.

Arithmetic Sequences

100

Is the sequence arithmetic?

48, 45, 42, 39, 35,...

No!

200

What is a₁ and d of the following sequence?

-8, -5.5, -3, -0.5, 2.0,...

a₁ = -8

d=2.5

300

Write a recursive formula for the following sequence.

2, 6, 10, 14, 18...

a₁ = 2

a_n = a_n-1 + 4

400

Write an explicit formula for the following sequence:

-5, -8.5, -12, -15.5, -19

a_n= -3.5n - 1.5

500

Write the recursive formula of the following:

a_n = 3n+1

a₁ = 4, a_n = 3

Lines of Fit

100

What does 'r' represent in the linear regression?

Correlation coefficient

200

If r does not show when I use the graphing calculator, what do I need to do?

2nd, 0, diagnostic on, done.

300

If my value of r is -0.57, what type of correlation does my data have?

Weak negative correlation

400

Find the trend line for the following data:

(6, 85), (12, 81), (18, 75), (24, 69), (30, 63)

y = -0.93x + 91.4

500

Find the trend line for the following data:

(20, 9), (22, 12), (24, 16), (26, 20), (28, 23)

y = 1.8x - 27.2