## Chapter 8-9 Study Guide

1. State the domain and range of a relation and indicate whether or not it is a function. Look at problems 1 - 10 in section 9.1.
2. Give the domain of a function. Look at problems 21 - 28 in section 9.1.
3. Given two functions, evaluate the given expressions. Two parts, look at problems 1 - 12 in section 9.2.
4. Given two functions, evaluate the given expressions. Three parts, look at problems 21 - 34 in section 9.2.
5. Evaluate a difference quotient. Look at problems 43 - 48 in section 9.2.
6. Find all values of x for which f(x) = 0. Look at problems 21 - 28 in section 9.3.
7. Identify each function as being constant, linear, quadratic, cubic, rational, or exponential. Two parts, look at problems 1 - 20 in section 9.3.
8. Sketch the graph of an exponential function. Look at problems 39 - 46 in section 9.3.
9. For the functions given, find the inverse. If the inverse is also a function, then write it using the inverse notation. Two parts, look at problems 13 - 28 in section 9.4.
10. Solve a 2 x 2 system of linear equations using any technique you want to. Look at problems 1 - 18 in the chapter 8 review.
11. Write the equation of a circle with the given center and radius. Look at problems 13 - 22 in section 9.5.
12. Give the center and radius and sketch the graph of a circle. Look at problems 31 - 38 in section 9.5.
13. Solve a 2 x 2 system of linear equations using Cramer's Rule. You must use Cramer's Rule or you will get no credit for the problem. Look at problems 1 - 8 in section 8.4.
14. Sketch the graph of an ellipse. Label the coordinates of the center and vertices. Look at problems 29 - 34 in section 9.6.
15. Sketch the graph of a hyperbola. Label the coordinates of the center and vertices and show the asymptotes. Look at problems 35 - 40 in section 9.6.
16. Sketch a system of non-linear inequalities. Look at problems 11 - 16 in section 9.7.
17. Solve a 3 x 3 system of linear equations using Gauss-Jordan elimination. If you don't use Gauss-Jordan elimination, you don't get any credit. You don't have to pivot (I strongly urge you to), but you do have have to use Gauss-Jordan elimination. Look at problems 11 - 14 in section 8.5.