Math 117 - Chapter 1 Study Guide
- Determine whether the graph is that of a function. Two parts. Look at problems
- Find the implied domain without the use of a grapher. Two parts. Look at problems
- Determine whether the graph is symmetric with respect to the x-axis, y-axis, and/or the
origin. Two parts. Look at problems 1.4.15-26.
- Given a function, evaluate it. Three parts. Look at problems 1.1.23-28 and 1.3.77-82
- Write the equation of the line with the given characteristics. Two parts. Look at problems
- Determine whether the function is odd, even, or neither. Two parts. Look at problems
- Consider the function given. Use a grapher to graph the function and any zeros (roots),
find the intervals where the function is increasing and decreasing, and any relative
maximums and minimums. Look at problems 1.3.5-14.
- The graph of y=f(x) is given. Sketch the graph of a translated function. Look at problems
- Find the composition of a function with its inverse. Look at problems 1.6.91-92.
- Use a table to answer questions about combining functions. Eight parts. There is nothing
like this in the book, so look at your notes from class instead.
- Given a pair of functions, find f[g(x)] and g[f(x)]. Look at problems 1.6.1-12.
- Find f(x) and g(x) such that h(x) = f[g(x)]. Two parts. Look at problems 1.6.13-24.
- Find the inverse of the function. Be sure to state any restrictions that are necessary. Two
parts. Look at problems 1.6.65-80.
- None of the problems are directly from the text.
- This is a take home test worth 50 points. It is due Monday, June 10.
Points for each problem