NAME:
PER:
DATE:
WS 3.1 – Introduction to Functions
For each of the following, write a dependency sentence and identify the independent and dependent
variables.
1. spring rainfall and wildflowers
Sentence:
Indp Var:
Dep Var:
2. temperature outside and layers of clothing
Sentence:
Indp Var:
Dep Var:
3. number of barn cats and number of field mice remaining
Sentence:
Indp Var:
Dep Var:
4. amount of money spent and articles of clothing bought
Sentence:
Indp Var:
Dep Var:
5. amount of stagnant water and number of mosquito larva
Sentence:
Indp Var:
Dep Var:
For each of the following write a sentence giving the relationship between variables using either “depends on”
or “is a function of”. Vary your responses using each option at least 4 times. Then identify the independent and
dependent variables.
6. W c , where c = calories and W = weight
Sentence:
Indp Var:
7.
Dep Var:
T t , where T = temperature and t = time of day
Sentence:
Indp Var:
Dep Var:
8.
A d , where A = area and d = diameter
Sentence:
Indp Var:
Dep Var:
9. W e , where e = exercise and W = weight
Sentence:
Indp Var:
Dep Var:
10. B k , where B = electric bill cost and k = kilowatt hours
Sentence:
Indp Var:
Dep Var:
11. G t , where G = grade and t = hours watching TV
Sentence:
Indp Var:
Dep Var:
12. R r , where r = amount of rainfall and R = river level
Sentence:
Indp Var:
Dep Var:
13. P s , where s = length of the side of a squares and P = perimeter
Sentence:
Indp Var:
Dep Var:
14. D n , where n = number of lawns mowed and D = dollars made
Sentence:
Indp Var:
Dep Var:
15. M n , where M = money spent and n number of cd’s bought
Sentence:
Indp Var:
Dep Var:
Match the graphs to the following situations. The domain and range are given respectively (in the
same order) in parentheses.
1. __________
A. When fuel oil is scarce, the prices are high.
As more becomes available, the prices drop.
There is, however, a price below which no
gas station will set its price. (oil available,
price at pump)
2. __________
B. The accident rate for middle-aged drivers is
lower than the rate for younger and older
drivers.
(age, accident rate)
3. __________
C. A balloon is being inflated with air. As more
and more air is pumped into the balloon, the
volume increases until it finally bursts. (air
pumped, volume)
4. __________
D. The price of a share of the company’s stock
increased more in the afternoon than in the
morning.
(time, price)
5. __________
E. In the morning Ryan was feeling fine, but by
the time he got to school he had a high fever.
As the morning went on, his temperature
went down. By noon it was almost normal,
but his temperature went up again after
lunch. Then his mom gave him some
medicine and by evening his fever was gone.
(time, temperature)
Write a situation to match each graph:
6.
Feet from Ground
Situation:
seconds
x
7.
Money
Situation:
x
Time
Given the following situation, sketch a graph: DO NOT forget to label your axes!
Profit
8.
Situation: The height of a ball that is dropped
from a height of 10 feet is a function of the
time since it was dropped.
x
9.
Situation: The amount of money you receive
for recycling aluminum can depends upon the
number of pounds of cans turned in.
x