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 |