Function Notation
Interpreting Functions
Rate of Change
Graphs
About Miss Smith
100
Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The amount of rain is measured in millimeters.
What does this expression or equation represent in this situation?
R(3)=9
The rain gauge was at 9 millimeters after 3 hours of raining.
100
Function w gives the weight of a cat, in kilograms, when it is m months old. Which statement represents the meaning of the equation w(7)=4 in this situation?
The cat weighs 4 kilograms when it is 7 months old.
100
What is the formula for the rate of change?
The change of y (y2-y1) over the change of x (x2-x1)
100
Find f(20) and f(160).
f(20) is approx. 3.25
f(160) is approx 3.8
100
What is Miss Smith's pet name?
What is Georgie?
200
Jay signs up for a new cell phone plan. Her plan starts at 10 dollars (d) and there is an additional 2 dollars for every call (c) sent.
Using function notation, what would the equation be for the situation?
y=10+2(c)
200
Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters.
What is d(90)?
d(90) is 50 meters.
200
What is the rate of change of the following order pairs?
(2,8) and (-6,4)
The rate of change is 2.
200
Function A and B give the population of City A and City B, respectively, t years since 1990. In each function, population is measured in millions.
Which is greater A(4) or B(4)?
B(4).
200
What is Miss Smith favourite color?
What is purple?
300
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
Function r gives the remaining amount of rice, in kilograms, as a function of the number of weeks (w) since the restaurant owner bought the rice.
Use function notation to write a rule that defines function r.
r= 75-(4.5)w
300
Are the following order pairs a function? Why or why not?
(9,0) (5,-6) (-6,5) (7,8)
Yes because every input has exactly one output.
300
The table and the graph show the population of a country between 2010 and 2015.
Find the average rate of population growth between 2010 and 2015.
The average rate of change from 2010-2015 is 500,000.
300
Function A and B give the population of City A and City B, respectively, t years since1990. In each function, population is measured in millions.
In what year will the populations of both cities be the same?
In year 1996.
300
Is Miss Smith the oldest, middle , or youngest sibling?
What is oldest sibling?
400
Function R gives the inches of snow measured by a thermometer t hours since it started snow. The amount of snow is measured in inches.
What does each the equation represent in this situation?
R(0.5)=3
The snow is 3 inches half an hour after it started snowing.
400
Are the following ordered pairs a function? Why or why not?
(8,2) , (-4,-4), (6,7), (7,6) (8,-8), (2,4)
No because the input 8 has two output 2 and -8.
400
Jada walks to school. The function D gives her distance from school, in meters, t minutes since she left home.
Which equation tells us “Jada is 600 meters from school after 5 minutes”?
A. D(600)=5
B. D(5)= 600
C. t(5)=600
D. t(600)=5
B. D(5)=600
400
looking at the graph, what are the horizontal intercept(s) of the function?
x=1
x= 27
400
What college did Miss Smith attend?
What is Georgia Southern University?
500
When looking at a set of ordered pairs. How can you tell whether or not the set of ordered pairs represent a function?
If every input has exactly one output, it is a function.
500
Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters.
When he was the farthest away from the dock? How far was he?
He was farthest away from the dock between 100-160 seconds. He was 60 meters away.
500
Which ordered pairs has a greatest rate of change?
Set A: (0,15) and (8,16)
Set B: (2, 14) and (18, 15)
Set C: (-5, -25) and (-6,-24)
Set B: (2,14) and (18,15)
500
Take a look at the graph. The following equation goes with the graph. y=h(t). h is height in feet. t is time in seconds.
Using the equation, What is the maximum height? Minimum height? Height staying the same? Starting height? Format: h(?)
Max height: h(4)
Min height: h(1.5)
Staying the same: h(7) through h(8)
Stating height: h(0)=7
500
What is Miss Smith's favourite drink?
What is lemonade?