Relationships
Functions
Linear or Non-linear
Quadratic Functions and Qualitatives Graph
Words, Words, Words
100

What is a linear equation? 

a straight line on a graph

100

Write a function to represent the situation. The grocery store sells bacon for $5.30 per pound. 10.  

c=5.3(p)
100

What is the difference between linear and nonlinear?

Linear creates a straight line on a graph and has a constant rate of change. Non-linear is the opposite, not straight and not constant. 

100

What shape does a quadratic function create?

A Parabola

100

The __________ of a relation is the set of x-coordinates.

Domain

200

State the domain and range for the following relation. {(4, -1), (3, 2), (0, -3), (1, 4)}

domain: {0, 1, 3, 4}; range: {-3, -1, 2, 4}

200

. What is f (-3) if f(x) = 1/3 x?

-1

200

Is this a linear or non-linear function? 

x l 5 l 3 l  1  l -1 l

y l 6 l 8 l 10 l 12 l

Linear

200

How do you know which way a quadratic function opens? 

Upward (+)

Downward (-)

200

Nate has a certain number of songs on his MP3 player. Each week, he plans to add 2 more songs. After 5 weeks, he had 25 songs on his MP3 player. Which statement is true?

A. Nate adds 5 songs on his MP3 player per week. 

B. Nate adds 10 songs on his MP3 player per week. 

C. The initial number of songs on Nate’s MP3 player is 15. 

D. The initial number of songs on Nate’s MP3 player is 2.

C. The initial number of songs on Nate’s MP3 player is 15

300

State the domain and range for the following relation. {(-4, 4), (1, 2), (0, 3), (3, 2)}

domain: {-4, 0, 1, 3};

range: {2, 3, 4}

300

What is f(-2) if f(x) = .5x?

-1

300

Is this a linear or non-linear function? 

x l -2 l 0 l 2 l 4 l

y l 0  l 1 l 2 l 3 l

Linear

300

Does the following graph y = x^2 − 2 open upward or downward?

Upward

300

The variable for the domain is called the __________ because it can be any number.

Independent variable

400

Find the rate of change for the following coordinates: (4,14) (2,7).

3.5 or 7/2

400

Create a function table for ƒ(x) = -2x + 1.

Use the following for x; -2, 0, 1, 2 

f (-2) = 5

f (0) = 1

f (1) = -1

f (2) = -3

400

Which of the following represents a nonlinear function?

a) y=5x + 7

b) y=x^2

c) y=-2x 

b) y=x^2
400

Sketch a qualitative graph to represent this situation. The value of a painting has increased steadily over time.  

Mrs. Lepak has answer.

400

Roberto has a certain number of songs on his MP3 player. Each week, he plans to add 4 more songs. After 5 weeks, he had 40 songs on his MP3 player. Which statement is true? 

A. Roberto adds 5 songs on his MP3 player per week. 

B. Roberto adds 10 songs on his MP3 player per week. 

C. The initial number of songs on Roberto’s MP3 player is 10. 

D. The initial number of songs on Roberto’s MP3 player is 20.

D. The initial number of songs on Roberto’s MP3 player is 20.

500

A library charges a late return fee of $3.50 plus $.15 per day that a book is late. Write an equation to find the total late fee (f) for any number of days late (l).  

f=3.5 + .15d

500

The grocery store sells cantaloupes for $4.50 per pound. Write a function to represent the situation.

c = 4.50(p)

500

Which of the following represents a nonlinear function? 

F. y = 4x^2 

G. y = x 

H. y = -9x 

I. y = 8x + 10

F. y = 4x^2

500

Graph the following; y = −2x^2 + 4

Mrs. Lepak has the answer.

500

NEW INFORMATION: What is continuous and discrete data?

Continuous data can take on any value, so there is no space between data values for a given domain. These are solid lines. Discrete data have space between possible data values. These are dotted lines. (Pg 298)