A set of Practice Final Exam exercises is available in WebWork. Submit written solutions to your exercises on Blackboard by Monday night (Dec 14). **Your written solutions will be graded and counted as a quiz**.

Note: This WebWork set is set up as a test with a 2h time limit, but you can ignore the time limit and the corresponding “recorded score.” You can still use WebWork to check your answers, but you should **focus on understanding the exercises and writing up complete solutions**.

The final exam will be Wed Dec 16-Fri Dec 18, and will be very similar in format to this Practice Final Exam.

Here is a guide to the exercises, with notes on examples to review from the WebWork, from the various quizzes and exams, from examples I have posted on OpenLab, and from the textbook:

- Inequalities:
- absolute value inequality – show algebra leading to solution set (see WebWork “Absolute Value Inequalities”; Quiz #1; Exam #1)
- polynomial inequality – show algebra solving for x-intercepts, then sketch graph to show solution set of inequality or use “test points” in each subinterval to find solution set (see WebWork “Polynomial Inequalities”; Exam #2; textbook Example 12.2)
- rational function inequality- show algebra solving for x-intercepts and vertical asymptotes, then sketch graph or use “test points” in each subinterval to find solution set of inequality (see see WebWork “Rational Inequalities”; Exam #2; textbook Example 12.4)

- Rational function (show all algebra for finding domain, asymptotes, roots/intercepts;
**sketch a graph of the function and label all of these features**):- see WebWork “Rational Functions – Comprehensive”; Exam #2; textbook Example 11.5
- see this Rational Functions Example

- Difference quotient or inverse of a function:
- see WebWork “Functions – Difference Quotient”; Exam #1
- see WebWork “Functions – Inverse Functions”; textbook Example 7.6 (pp89-90)

- Polynomial function (show all algebra necessary for factoring and finding roots, including long division;
**sketch a graph of the function and label the**)*x*-intercept(s) and*y*-intercept- see WebWork “Polynomials – Graphs”; Quiz #3; Exam #2
- see this example

- skip this exercise
- Logarithmic function or logarithmic properties:
- see WebWork “Logarithmic Functions – Graphs”; textbook Example 13.3
- see WebWork “Logarithmic Functions – Properties”; textbook Example 14.3

- Trigonometric function and graph:
- see textbook Definition 17.9 and Example 17.10 (pp246-247)
**sketch a graph of the function and label the period, amplitude, and phase shift**

- Trigonometric equation (show algebra needed to simplify the equation, and then justify your solutions in terms of either the unit circle or the graph of the trig function involved)
- see WebWork “Trigonometry – Equations”

- Application of exponential function:
- see WebWork “Exponential Functions – Growth and Decay”
- see two examples from that WebWork set posted here

- skip this exercise

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