Writing Functions
Reading Functions
Functions and Graphs
Graphs and Vocabulary
Random
100
Suppose function W gives the height of the water, in centimeters, measured in a bath
tub t minutes since it started filling.
The amount of water 2 minutes after it started filling.
W(2)
100
The Function R represents the number of feet above the loading platform that a roller coaster is n, as a function of time t, in seconds.
R(75) = 130
After 75 seconds the roller coaster is 130 ft above the platform.
100
D(0) = ______
0
100
The Global Max is at _______________________.
y = 2.75
x = 0.3
(0.3, 2.75)
2.75 meters
100
The function H gives the height of a dwarf sunflower, in inches, as a function of time t, in weeks.
True or False: H(2) = 5 means that after 5 weeks, the sunflower has grown 2 inches taller.
False. After two weeks the sunflower is 2 inches tall.
200
Suppose function W gives the height of the water, in centimeters, measured in a bath tub t minutes since it started filling.
Half a minute after it started filling, the water was 10 cm.
W(1/2) = 10
200
The Function R represents the number of feet above the loading platform that a roller coaster is n, as a function of time t, in seconds.
What does R(0) = 0 mean?
At the start the roller coaster is 0 ft above the platform.
or
After 0 seconds the roller coaster is 0 ft above the platform.
200
True or False D(40) < D (60)
True
200
A tennis ball is hit and bounces several times after it lands. The graph shows the height of the ball over time.
Interpret he vertical intercept.
The tennis ball starts at a height of 1.5 meters.
200
Which of these is the minimum height of the graph?
h(8) =1 h(0)=5 h(1)= 8 h(5) = 0
h(8) = 1
300
Suppose function W gives the height of the water, in centimeters, measured in a bath tub t minutes since it started filling.
5 minutes after it started filling, the water was 40 cm.
W(5) = 40
300
The Function R represents the number of feet above the loading platform that a roller coaster is n, as a function of time t, in seconds.
What does R(130) = 75 mean?
After 130 seconds the roller coaster is 75 ft above the platform.
300
D(100) = _______________
60
300
Who is Correct? Explain.
Jayla says that there are multiple minimums.
Emily says it reaches the minimum multiple times.
Emily is correct because all the minimums are the same number 0 which means there is only one minimum and it is hit multiple times.
300
0.19 percent per year
or
0.2 percent per year
400
Suppose function W gives the height of the water, in centimeters, measured in a bath tub t minutes since it started filling.
The amount of water 10 minutes after it started filling was the same as the amount of water 20 minutes after it started filling.
W(10) = W(20)
400
The Function R represents the number of feet above the loading platform that a roller coaster is n, as a function of time t, in seconds.
What does R(t) = n mean?
The roller coaster is n ft above the loading platform after t seconds.
400
Katie and Amelia were both selling things at a bake sale to raise $90.
Put the correct sign: <, >, <=, >=, or just equal.
A(4) ______ K(4)
A(4) is 40 while K(4) is 50 so
A(4) < K(4)
400
The graph shows the amount of money Dave had while gambling at a casino.
What is the Vertical intercept and what does it mean?
Dave starts out with $300 dollars.
After 0 hours, Dave has $300 dollars.
Not $3!!!
400
What is the rate of change in the number of cashews remaining compared to the days since purchase?
They lose 2 oz of cashews every day.
0r
-2 cashews per day.
500
Suppose function W gives the height of the water, in centimeters, measured in a bath tub t minutes since it started filling.
The height of the water at 10 minutes is less than 20 cm.
W(10) < 20
500
The Function R represents the number of feet above the loading platform that a roller coaster is n, as a function of time t, in seconds.
What does R(t) = 100 mean and is it likely that there is one answer for t or multiple? Explain!!
After t seconds the roller coaster is at 100 ft above the platform.
Since the roller coaster has to go up and then come down it is likely there is more than one answer to the value of t.
500
Katie and Amelia were both selling things at a bake sale to raise $90. Name where the two girls had raised the same amount of money using correct function notation.
A(2) = K(2) and A(4.5) = K(4.5)
or
A(x) = K(x) when x = 2 and 4.5
500
Interpret what each tick mark (increment) represents for both the vertical and horizontal axis. Be clear which is which!!
The vertical tick marks mean that the money earned goes up by $5. The Horizontal tickmarks mean that the days selling go up by 1 day.
500
For what value of x is C(x) = 0?
They run out of cashews after 14 days
so x = 14