Notation
Solving
AROT
Reading Graphs
100
Function h gives the height of a plant, in centimeters, when it is t days old. Which statement represents the meaning of the equation h(12)=18 in this situation?
"After 12 days, the height of the plant is 18 centimeters."
100
f(x) = x + 5
What is f(10)?
f(10) = 15
f(10) = (10) + 5
100
What is the average rate of change between (1,3) and (4,12)?
AROC = 3
(12 - 3) / (4 - 1)
9 / 3
3
100
What is bigger: f(100) or f(160)?
f(100)
200
Function d gives the distance a cyclist travels, in miles, after m hours. What statement represents the meaning of the equation d(5) = 2?
"After five hours, a cyclist travels two miles."
200
t(x) = 2x + 5
What is t(-5)?
t(-5) = -5
t(-5) = 2(-5) + 5
t(-5) = -10 + 5
t(-5) = -5
200
What is the AROC for the function? (Hint: you can choose any two points!)
AROC = -5
Using points (1,5) and (0,0)
(5 - 0) / (1 - 0)
5 / 1
5
200
What are the maximum(s) and minimum(s)? List all of them! Give best approximations for values.
Maximum: (0,2)
Minimums: (~0.7, 0), (~1.6, 0), (~2.2, 0)
300
Function p gives the number of pages read in a book after t minutes. What statement represents the meaning of the equation p(20) = 15?
"The number of pages read after 20 minutes."
300
n(x) = x / 3
What is n(0), n(3), and n(15)?
n(0) = 0, n(3) = 1, n(15) = 5
n(0) = 0 / 3 = 0
n(3) = 3 / 3 = 1
n(15) = 15 / 3 = 5
300
What is the AROC between (7,16) and (15,80)?
AROC = 8
(80 - 16) / (15 - 7)
64 / 8
8
300
Which value is greater: A(4) or B(4)?
B(4)
400
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.
Use function notation to represent the statement: "120 minutes after it started raining, the amount of rain was 37 millimeters."
R(2) = 37
400
q(x) = 5x - 7
What is q(0) and q(3)?
q(0) = - 7, q(3) = 8
q(0) = 5 x 0 - 7 = 0 - 7 = -7
q(3) = 5 x 3 - 7 = 15 - 7 = 8
400
What is the average rate of change between (6,48) and (16,3)?
AROC = 4.5
(48 - 3) / (16 - 6)
45 / 10
4.5
400
What is the AROC between 2010 and 2015? Include unit!
AROc = 0.4 million people
(39 - 37) / (2015 - 2010)
2 / 5
0.4
500
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.
The amount of rain 90 minutes after it started raining was greater than the amount 120 minutes after it started raining.
R(1.5) > R(2)
500
g(x) = (5x / 3) - 7
What is g(0) and g(3)?
g(0) = - 7, g(3) = -2
g(0) = (5*0 / 3) - 7 = 0 - 7 = -7
g(3) = (5*3 / 3) - 7 = 5 - 7 = -2
500
What is the AROC between (6,538) and (15,916)?
AROC = 42
(916-538) / (15-6)
378 / 9
42
500
The owner of a small pottery business is out of clay, so they buy 100 pounds of clay. Each week, the pottery uses 10 pounds of clay.
Draw a graph that represents the scenario described above. Have at least two points labeled and a line traveling through them.
