Vocabulary
Functions
Writing LINEAR Functions
Comparing Functions
Analyzing Graphs
100
the x values of a function
What are the inputs?
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? The function expressed in the equation or the one shown in the table?
what is the function in the table?
table: y-int =8
equation: y-int=7
100
DOUBLE JEOPARDY
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 are the outputs?
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
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 input has exactly one output
What is a function
300
Is this a function:
NO! Fails the verticle line test.
300
DOUBLE JEOPARDY
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 verticle 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 higher rate of change? Function G or F?
F is higher the rate is 4
G has a rate of 3.5
400
How many seconds did it take the car to reach its maximum speed?
7 seconds
500
DOUBLE JEOPARDY
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