Vocabulary
Functions
Writing LINEAR Functions
Comparing Functions
Qualitative Graphs
100
the x values of a function
What is the domain
100
Is it a function:
NO! a has two different outputs
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.
What is y = 2.50x
100
Which has a greater initial value? Function A or B
Function A is represented by the equation
y= x+7
Function B is represented in the table below
What is function B
B has a y-int =8
A has a y-int=7
100
On the journey depicted below, how many times did the person stop?
Two times during B and D
200
the y values of a function
What is the range
200
Is this a function:
Yes! Each input is paired with only 1 output.
200
A company charges a membership fee of $100 plus a monthly fee of $25. Write a function to represent this relationship.
What is y= 25x + 100
200
Which function increases faster?
Function q on the graph
Function r represented in the table:
They are increasing at the same rate 3/4.
200
During which section of the graph was the person traveling the slowest?
A is the least steep.
300
relation in which every member of the domain is paired with one member of the range
What is a function
300
Is this a function:
NO! Fails the vertical line test.
300
Aly charges $25 to babysit plus $8 per hour. Write a function to model her total charge, y, for hours, x.
What is y=8x+25
300
Which has a smaller rate of change the equation or the graph?
The equation has a smaller rate of change 5/4 compared to 2
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
a function that when graphed is a line
What is linear function
400
Is the following graph a function?
Yes! A vertical line will only pass through at 1 point!
400
I have 119 pages of a book left to read. If I read 20 pages per day I will meet my goal of finishing the book on time. Write a function to describe y (total pages left to read) and x, number of days.
What is y=-20x+119
400
Which has a greater rate of change, the equation or graph?
What is the graph at 4 while the equation at 3.5 .
400
How many seconds did it take the car to reach its maximum speed?
7 seconds
500
functions whose rate of change are not constant so therefore their graphs are not straight lines
What is a nonlinear function
500
If the following graph function:
NO! when x=0 there are two different y values.
500
Jackson pays $28 each month for phone service and he paid a one-time activation fee of 100. Write an equation to represent the cost, c, for m, months of service.
c=28m+100
500
Which wrestler is gaining weight faster?
Wrestler A gains 5 pounds per month
(Wrestler B gains 108.5-101.75/ 6-4.5 = 4.5 pounds)
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