## Math 116 - Chapter 1 Study Guide

- Use a graphing utility to graph the equation. Use the standard window. Approximate any
*x* or
*y* intercepts. Two parts. Look at problems 1.1.19 - 1.1.25 and 1.4.47 - 1.4.49.
- Describe the viewing window. Look at problems 1.1.59 - 1.1.62.
- Find three additional points on the line passing through the given point with the given slope.
Look at problems 1.2.17 - 1.2.25.
- Find the equation of the line that passes through the given point with the given slope. Look at
problems 1.2.51 - 1.2.59.
- Determine if the equation represents
*y* as a function of *x*. Three parts. Look at problems
1.3.13 - 1.3.22.
- Evaluate the function at the specified value of the independent variable and simplify. Three
parts. Look at problems 1.3.25 - 1.3.35.
- Find the domain of the function. Three parts. Look at problems 1.3.51 - 1.3.60.
- Use a graphing utility to approximate any relative minimum or maximum values of the
function. Look at problems 1.4.51 - 1.4.55.
- Identify the common function and the transformation shown in the graph. Write the formula
for the graphed function. Four parts. Look at problems 1.5.13 - 1.5.24.
- Find the composition of functions. Two parts. Look at problems 1.6.35 - 1.6.43.
- Find the difference quotient for the given function, and simplify. You are responsible for
knowing the formula for the difference quotient. Look at problems 1.6.61 - 1.6.64.
- Sketch the inverse of the given function. A function is sketched, you need to sketch its
inverse. You are not given the equation of the function, just the graph. Look at problems
1.7.1 - 1.7.4.
- Determine whether the function is one-to-one. If it is, find the its inverse. Three parts. Look
at problems 1.7.41 - 1.7.59.
- Find an equation for the line passing through the given points. Look at problems 1.2.41 -
1.2.49.

### Notes:

- Most of the problems are straight from the text.
- The notation 1.1.19 - 1.1.25 means look at problems 19 - 25 in section 1.1