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Introduction to Functions Homework Solutions
STOR 112
1.1.18
Given
h
(
r
) =
1
r
+4
a.
h
(0) =
1
0+4
= 1
/
4
b.
h
(

3) =
1

3+4
= 1
/
1 = 1
c.
h
(

5) =
1

5+4
= 1
/
(

1) =

1
d.
h
(
x
2
) =
1
x
2
+4
e.
h
(
x
2
+ 1) =
1
x
2
+1+4
=
1
x
2
+5
f.
h
(
x
2
) + 1 =
1
x
2
+4
+ 1
1.1.42
a.
P
(3) = 3
.
4 (3.4 million gallons per day produced in 2003),
P
(4) = 3
.
4 (3.4
million produced per day in 2004). We estimate
P
(6) = 3
.
3 (3.3 million
produced per day in 2006).
b. The domain of P is [1,6].
c. From the grpah we can estimate
P
(1
.
5) = 3
.
15.
P
(1
.
5) is the amount of oil
produced in the year ending June 30, 2002. Thus Pemex produced 3.15 million
gallons/day in the year ending June 30, 2002.
1.1.48
a. An appopriate domain of
A
is
t
where 0
≤
t
≤
20.
t
≤
20 is not enough
because that would allow negative values of
t
.
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View Full Documentb.
A
(10) =

0
.
01(10)
2
+ 0
.
24(10) + 3
.
4 = 4
.
8, which means that an estimate of
the number of articles in Physics Review in 1993 is 480.
1.1.52(a,b)
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 Fall '06
 RUBIN,David

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