Solutions to Concepts Test for Chapter 7

Problem
Answer
Comment
1 False do not forget about x=0
2 True  
3 True  
4 False Some horizontal lines may not intersect the graph.
5 True The exponential function is defined for all real numbers.
6 False Read the problem carefully!
7 False Read the problem carefully!
8 True  
9 True  
10 False Read the problem carefully!
11 True The logarithm is an increasing function.
12 False True only when ln x > 0, i.e., x > 1.
13 True exp(x) > 0 for all real numbers x.
14 True The exponential is an increasing function.
15 True Worked in class.
16 True  
17 False Read the problem carefully!
18 True Use properties of logarithms.
19 True  
20 True The key is that exp( g(x[0]) ) > 0.
21 False Problem given on Quiz 3.
22 False  
23 True  
24 False arcsin is defined only for x in [ -1, 1 ]
25 True  
43 False This limit equals e

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Last modified: 10 September 2003