# Math 190: Study Guide - Chapters 1-2

- Simplify the expressions. Look at problems 1.2.71-88.
- Rationalize the numerator. Look at problems 1.2.89-94
- Find the domain of the function. Look at problems 2.1.21-34.
- Find the equation of the line passing through the given points. Look at problems
1.4.31-34.
- Find a simplify the composition of the functions. Look at problems 2.2.25-30.
- Complete the table and use it to estimate the indicated limit. Look at problems
2.4.9-16.
- Find the indicated one-sided limits. Look at problems 2.5.21-38.
- Use the difference quotient to find the slope of the tangent line. Look at
problems 2.6.9-16.
- Find the values of
*x* for which the function is continuous. Look
at problems 2.5.45-56.
- Find the indicated limits. Look at problems 2.4.23-40, 73-80.
- A graph is given. Use it to estimate the average rate of change and instantaneous
rate of change. Look at problems 2.6.1-8

## Notes

- This test is a take home exam. It is due the class period we return to class
after Labor Day.
- Show work if there is any. In a very few cases, you may be able to do the
problem in your head.
- Each part of each question is worth 2 points for a total of 50 points.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
Total |

Pts |
4 |
2 |
2 |
2 |
2 |
2 |
6 |
2 |
4 |
16 |
8 |
50 |