The figure shows the graph of f ( x ) = c 4 . In Exercises 35—16, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. h ( x ) = e 1 2 + 2
The figure shows the graph of f ( x ) = c 4 . In Exercises 35—16, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. h ( x ) = e 1 2 + 2
Solution Summary: The author analyzes the graph of the function g(x)=ex
. In Exercises 35—16, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Chapter 4 Solutions
Algebra & Trigonometry With Additional Material From College Algebra Essentials (custom Edition For Tidewater Community College)
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