algebra show all work
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math_6.rtfWA 6, p. 3
Name:
College ID:
Thomas Edison State College
College Algebra (MAT-121-GS)
Section no.:
Semester and year:
Written Assignment 6
Answer all assigned exercises, and show all work. An asterisk indicates an exercise for which a graph pool is provided in the assignment submission link.
Refer to graphs A–I on page 238 of the textbook to answer the following questions. [ 18.75 points]
yx
=
- Which one is the graph of
§
¨
yx
=
? What is the value of y when x = 1.5?
- Which graphs of functions decrease over part of the domain and increase over the rest of the domain? On what intervals do they increase? decrease?
For the following piecewise-defined function, find (a)
(5)
f
-
, (b)(1)
f
-
, (c)(0)
f
, and (d)(3)
f
. (See section 2 . 6 , Example 2 .) [ 12.5 points]
2 if 3
()
5 if 3
xx
fx
xx
-<
ì
=
í
-³
î
2if 3
()31if 32
4if 2
xx
fxxx
xx
-<-
ì
ï
=--££
í
ï
->
î
Without graphing, determine whether each equation has a graph that is symmetric with respect to the x -axis, the y -axis, the origin, or none of these. [ 12.5 points]
4
23
yx
=-
15
yx
=+
Graph the function.* (See section 2 . 7 , Example s 6–8 .) [ 12.5 points]
2
3
yx
=+
32
yx
=++
Let
2
()3
fxx
=+
and()26
gxx
=-+
. Find each of the following. (See section 2 . 8 , Example 1 .) [ 18.75 points]
()(5)
fg
+-
()(3)
fg
-
(5)
f
g
æö
ç÷
èø
For the following function, find (a)
()
fxh
+
(b)()()
fxhfx
+-
, and (c)()()
fxhfx
h
+-
. (See section 2 . 8 , Example 4 .) [ 12.5 points]()411
fxx
=+
2
1
()
fx
x
=
Given functions f and g , find (a)
()()
fgx
o
and its domain, and (b)()()
gfx
o
, and its domain . (See section 2 . 8 , Example 4 .) [ 12.5 points]
()2
fxx
=+
,42
()4
gxxx
=+-
2
()4,()
fxxgx
x
=+=-
