Relationships
What is a linear equation?
a straight line on a graph
Write a function to represent the situation. The grocery store sells bacon for $5.30 per pound. 10.
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.
What shape does a quadratic function create?
A Parabola
The __________ of a relation is the set of x-coordinates.
Domain
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}
. What is f (-3) if f(x) = 1/3 x?
-1
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
How do you know which way a quadratic function opens?
Upward (+)
Downward (-)
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
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}
What is f(-2) if f(x) = .5x?
-1
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
Does the following graph y = x^2 − 2 open upward or downward?
Upward
The variable for the domain is called the __________ because it can be any number.
Independent variable
Find the rate of change for the following coordinates: (4,14) (2,7).
3.5 or 7/2
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
Which of the following represents a nonlinear function?
a) y=5x + 7
b) y=x^2
c) y=-2x
Sketch a qualitative graph to represent this situation. The value of a painting has increased steadily over time.
Mrs. Lepak has answer.
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.
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
The grocery store sells cantaloupes for $4.50 per pound. Write a function to represent the situation.
c = 4.50(p)
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
Graph the following; y = −2x^2 + 4
Mrs. Lepak has the answer.
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)