# Math 190: Study Guide - Chapters 1-2

1. Simplify the expressions. Look at problems 1.2.71-88.
2. Rationalize the numerator. Look at problems 1.2.89-94
3. Find the domain of the function. Look at problems 2.1.21-34.
4. Find the equation of the line passing through the given points. Look at problems 1.4.31-34.
5. Find a simplify the composition of the functions. Look at problems 2.2.25-30.
6. Complete the table and use it to estimate the indicated limit. Look at problems 2.4.9-16.
7. Find the indicated one-sided limits. Look at problems 2.5.21-38.
8. Use the difference quotient to find the slope of the tangent line. Look at problems 2.6.9-16.
9. Find the values of x for which the function is continuous. Look at problems 2.5.45-56.
10. Find the indicated limits. Look at problems 2.4.23-40, 73-80.
11. 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

 # Pts 1 2 3 4 5 6 7 8 9 10 11 Total 4 2 2 2 2 2 6 2 4 16 8 50