Questions Attached
Thehonest
1.doc1. Match each equation with the graph of f, g, h, or k in the figure.
(A)
y = 1 4
⎛ ⎝⎜
⎞ ⎠⎟ x
y=
1
4
æ
è
ç
ö
ø
÷
x
( g
(B)
y = 0.5( )x
y=0.5
()
x
( f
(C)
y = 5x
y=5
x
( h
(D)
y = 3x
y=3
x
( kGraph each function in Problems 3 – 10 over the indicated interval.
3.
y = 5x; −2,2[ ]
y=5
x
;-2,2
[]
5.
y = 1 5
⎛ ⎝⎜
⎞ ⎠⎟ x
= 5−x; −2,2[ ]
y=
1
5
æ
è
ç
ö
ø
÷
x
=5
-x
;-2,2
[]
In Problems 11 – 18, describe verbally the transformations that can be used to obtain the graph of g from the graph of f. (see Section 2.2).
13.
g x( ) = 3x+1
gx
()
=3
x+1
;
f x( ) = 3x
fx
()
=3
x
15.
g x( ) = ex +1
gx
()
=e
x
+1
;
f x( ) = ex
fx
()
=e
x
19. Use the graph of f shown in the figure to sketch the graph of each of the following.
(A)
y = f x( )−1
y=fx
()
-1
(B)
y = f x + 2( )
y=fx+2
()
(C)
y = 3 f x( )− 2
y=3fx
()
-2
(D)
y = 2− f x − 3( )
y=2-fx-3
()
29.
102−3x =105x−6
10
2-3x
=10
5x-6
35.
xe−x + 7e−x = 0
xe
-x
+7e
-x
=0
Graph each function in Problems 43 – 46 over the indicated interval.
43.
h x( ) = x 2x( ); −5, 0[ ]
hx
()
=x2
x
()
;-5,0
[]
45.
N = 100 1+ e−t
; 0, 5[ ]
N=
100
1+e
-t
;0,5
[]
