(Answers for Chapter 1: Functions) A.1.5
SECTION 1.2: GRAPHS OF FUNCTIONS
1)
2) a) Yes, b) No
(
)
(
3) Domain: , . Range: , 9 .
4) a) 6; b) 8; c) 2 , 1, and 3
5)
( )
(
a) x-intercept: 4, or 4, 0 ; y-intercept: 2 , or 0, 2
( )
)
b) x-intercepts: NONE; y-in
(Answers for Chapter 1: Functions) A.1.11
SECTION 1.9: INVERSES OF ONE-TO-ONE FUNCTIONS
1) f
1
( x) = x
5
on
2)
a)
f
Input
x
8
1
3
1
Output
f 1 x
()
2
1
b) 2
cfw_ 2, 1, , the same as the domain of f
c)
d)
e) 8
3) a) No, b) Yes
4) Yes
(
5) 2, 4
)
6)
()
(Answers for Chapter 1: Functions) A.1.7
SECTION 1.4: TRANSFORMATIONS
1)
a)
b)
c)
d)
e)
f)
a)
b)
c)
d)
e)
3)
2)
(Answers for Chapter 1: Functions) A.1.8
()
(
)
( )
2
3) S t = 16 t 1 + 256 , where Dom S = 1, 5 in seconds. See preceding graph.
( )
5) a) (
(Answers for Chapter 1: Functions) A.1.9
SECTION 1.6: COMBINING FUNCTIONS
1)
a) 2 x 4 ; 0,
b) 4; 0,
x
c)
d)
(
x
)
)
)
x 4 , or x 4 x ; 0,
, or, if we rationalize the denominator,
x 4
0, 16 16,
) (
)
e) 5 x 12 ; 0,
x
(
x +4
x 16
) , or x + 4
x
;
x 16