READING GRAPHS OF FUNCTIONS
1. Use the graph below to answer the following:
A. Find f (0) .
E. Is f  1 2  positive or negative?
B. Find f (7) .
C. Find f (2) .
D. Is f (6) positive or negative?
F. Is f (1)  f (6) ?
G. For what values of x is f ( x )  0 ?
H. For what values of x is f ( x)  0 ?
4
3
2
1
0
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
-1
-2
2. Use the graph below to answer the following:
A. What is f (2) ?
B. Find x so that f ( x)  3 .
C. Find the zeros of f ( x) .
D. What is f ( f (2)) ?
E. On what intervals is f ( x) increasing?
F. For what value, if any, is f ( x)  x ?
G. On what intervals is the rate of increase of
f ( x ) actually decreasing?
10
8
6
4
2
-5
-4
-3
-2
0
-1 -2 0
-4
-6
-8
-10
1
2
3
4
5
6
3. When a drug is injected into a person’s muscle tissue, the concentration of the drug in the blood is a
function of the time elapsed since the injection. Use the graph below to answer the following:
( t  0 corresponds to the time of injection)
A. What is the concentration of the drug one hour after the injection?
B. Find C (3) and give an interpretation.
C. Over what interval is the concentration greater than 0.01?
0.04
Concentration
0.035
0.03
0.025
0.02
0.015
0.01
0.005
0
0
1
2
3
4
5
6
7
Time (hours)
4. The graph below illustrates the temperature on a particular day as a function of time since midnight.
A. What was the temperature at 3:00 a.m.?
B. When was the temperature 5 degrees?
C. When was the temperature below freezing? (less than 0 degrees)
D. When was the temperature increasing?
15
Temperature
10
5
0
-5 0
3
6
9
12
15
-10
-15
-20
Hours Since Midnight
18
21
24