Relations
Functions
Linear vs Nonlinear
Increasing vs Decreasing
Function Properties
100
Classify the following as discrete or continuous:
Puppies in a household
What is
Discrete
100
Is the following relation a function?
x y
0 2
1 4
2 6
1 5
-1 7
What is
NO
100
Determine if the following graph is linear or nonlinear:
What is
Nonlinear
100
Is the following function increasing, decreasing, constant, or neither?
What is
Increasing
100
Find the rate of change of the following:
What is
2
200
If you get paid $8 a day at your job, is the amount you get paid discrete or continuous?
What is
Discrete
200
Is the following relation a function and why?
What is
YES
Because it passes the vertical line test
200
Determine if the following function is linear or nonlinear:
x y
-2 -2
-1 4
0 8
1 14
2 20
What is
linear
200
Is the following function increasing, decreasing, constant, or neither?
What is
neither
200
Find the rate of change of the following (simplest fraction form):
A line going through the points (-2,7) and (4,9).
What is
1/3
300
Identify the independent variable:
Chocolate bars sold and amount of money raised for a fundraiser.
What is
chocolate bars sold
300
Find the value of the following:
f(-2)=-x+8
What is
f(-2)=10
300
Determine if the following equation is linear or nonlinear:
4x(y-2)=7
What is
nonlinear
300
Is the following function increasing, decreasing, or neither?
y = -2x + 5
What is
Decreasing
300
Which function has a greater rate of change and what is it?
Function 1: Function 2:
y = -3x + 2
x y
-2 3
0 -1
2 -5
4 -9
What is
Function 2: -2
400
What is the domain of the following relation?
{(-5,6),(7,2),(2,2),(7,4)}
What is
D: {-5, 2, 7}
400
Find the outputs for the following function table:
x 2x+3 f(x)
-1
0
1
2
What are
1, 3, 5, and 7
400
Determine if the following equation is linear or nonlinear:
x=12
What is
linear
400
Where is the following function DECREASING?
What is
-2<x<2
400
What is the domain of the following function?
What is
D: {-5, -1, 2, 4}
500
What is the difference between a relation and a function?
What is
A relation is a set of ordered pairs and a function is a set of ordered pairs where the domain does not repeat.
500
Find the value of the following:
g(3) if g(x)=(x^2) -x
What is
6
500
Can a non-function graph be linear?
What is
YES
A vertical line!
500
Where is the following function DECREASING?
What is
x<1
500
Come up with an equation for the following situation:
What is the total amount, Jodi has made, t, if she already has been paid $32 and gets $11 per haircut, h?
What is
t = 11h + 32