## Chapter 8-9 Study Guide

- 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.
- Give the domain of a function. Look at problems 21 - 28 in section 9.1.
- Given two functions, evaluate the given expressions. Two parts, look at problems 1 - 12 in section 9.2.
- Given two functions, evaluate the given expressions. Three parts, look at problems 21 - 34 in section 9.2.
- Evaluate a difference quotient. Look at problems 43 - 48 in section 9.2.
- Find all values of x for which f(x) = 0. Look at problems 21 - 28 in section 9.3.
- Identify each function as being constant, linear, quadratic, cubic, rational, or exponential. Two parts, look at problems 1 - 20 in section 9.3.
- Sketch the graph of an exponential function. Look at problems 39 - 46 in section 9.3.
- 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.
- 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.
- Write the equation of a circle with the given center and radius. Look at problems 13 - 22 in section 9.5.
- Give the center and radius and sketch the graph of a circle. Look at problems 31 - 38 in section 9.5.
- 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.
- Sketch the graph of an ellipse. Label the coordinates of the center and vertices. Look at problems 29 - 34 in section 9.6.
- 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.
- Sketch a system of non-linear inequalities. Look at problems 11 - 16 in section 9.7.
- 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.

#### All problems on the exam are straight from the problems I told you to look at. They may be odd or even, though.