Function or merely a relation?
Linear or Nonlinear?
Name that function!
Rate of Change & Initial Value
Qualitative Graphs
100
Is it a function:
NO! a has two different outputs
100
Is the following graph linear or nonlinear?
Nonlinear!
100
The store charges $2.50 per cup of coffee. Write a function for this situation. Use y to represent cost and x to represent cups of coffee.
Y = 2.50x
100
Identify the initial value.
200
100
On the journey depicted below, how many times did the person stop walking?
Two times during B and D
200
Is this a function:
Yes! Each input is paired with only 1 output.
200
Does the following equation represent a Linear function or a Nonlinear function?
y=x/2+4
Linear!
It is in slope-intercept form (1/2 is the slope and 4 is the y-intercept).
200
A company charges a membership fee of $100 plus a monthly fee of $25. Write a function to represent this relationship.
y= 25x + 100
200
Identify the rate of change. 
2
200
During which section(s) of the graph was the person walking AWAY?
A & C
300
Is this a function:
NO! Fails the vertical line test.
300
Does the following table represent a Linear or Nonlinear Function?
Nonlinear!
The x's are changing at a constant rate of +1 but the y-values are going down by 3, then down by 1, then increasing by 1...
300
Write the equation for the graph pictured below:
y= -4x+30
300
A rental car costs $50 to rent, and then $0.20 per mile drive. What is the rate of change?
$0.20
300
According to the graph below,
A. The car is stopped
B. The car is increasing in speed
C. The car is traveling at a constant speed
C
400
Is the following graph a function?
Yes! A vertical line will only pass through at 1 point!
400
Which of the following is a linear function?
A. y=x2+2
B. 3x+y=1
C.
y=1/x+3
B
400
Write the linear equation for the table below:
y= 3x -7
400
Identify the rate of change.
2/6 or 1/3
400
How many seconds did it take the car to reach its maximum speed?
7 seconds
500
If the following graph function:
NO! when x=0 there are two different y values.
500
Does the table below represent a Linear Function or a Nonlinear Function?
Linear!
The x's are increasing by 2.
The y's are decreasing by 4.
The slope would be -4/2 or -2
500
Write the linear function that represents the table below:
y=20x+100
500
Identify the initial value.
4
500
From the graph below you can determine:
A. a person was returning home
B. a car was speeding
C. a person was slowing down.
C