Pre-Calculus Final Exam Review



Pre-Calculus Mid Year Exam Review 2016-2017

The mid-year exam is made up of 14 problems which cover selected topics from our first semester studies in units 1 – 3. The following lists the specific topics that are tested on the exam. Some exam problems may have more than one topic. I have given suggested review problems for each topic. Another good resource for practice problems are previous quizzes and tests (in fact many of the exam problems are modeled upon previous assessment questions).

1) Graph & Analyze a polynomial function – find a complete graph on your calculator, state domain & range, identify local max & min, identify increasing & decreasing intervals, identify boundedness & continuity, verify even/odd/neither and describe end behavior using limits. Beware of hidden behavior and do not use artifact values if they occur. (see unit 1 quizzes, tests)

2) Inverse functions – find the inverse algebraically given an equation and state the domain (see page 135 #s 13 – 21, unit 1 test)

3) Composition of Functions (see page 124 #s15 – 21, unit 1 test)

4) Apply knowledge of functions to real life examples (see p 152-3 examples 2, 4 p 161 # 33 & unit 1 notes, homework)

5) Find zeros of a polynomial function and write a linear factorization (see p 225 #s 49 – 53, p 234 #s 27, 29 & quizzes & test unit 2)

6) Find zeros of a polynomial function given one imaginary zero – using complex conjugate theorem and synthetic division & writing a linear factorization (see ex 5 p 231, p 234 #33-36, unit 2 quizzes & test)

7) Determine multiplicity of zeros, use this information to draw a graph of the function (see homework sheet, notes, ch 2 quiz and ch 2 test)

8) Solve inequalities using interval method with a table and use the graph to verify your result (see pages 264 – 265 #7, 9, 11, 21, unit 2 quizzes & test)

9) Analyze rational functions - Identify critical points (intercepts), asymptotes and describe end & middle behavior with limit notation (see pp 245-246 # 13 – 18, 19, 21)

10) Identify and apply transformations of any of the basic functions (see class examples, worksheets, quizzes & tests)

11) Convert angles in radian to degree and degree to radian, name quadrant of terminal sides of angles, identify both positive & negative co-terminal angles, draw an angle as a rotation on a coordinate plane (see page 356 # 9, 11, 17 – 23 odd and our class notes)

12) Evaluate the exact values of trig functions – work with reference angles related to special triangle angles & quadrantal angles. (see pp 381 #s 25 –41 odd, HW & classwork sheets, unit 3 test)

13) Find all six trig values of a given angle given a point on the terminal side (see p 381 #s 3 – 11 odd, unit 3 test)

14) Evaluate trig functions, given clues about the ratios and quadrants. Answers in exact simplest radical form. (see p 381 # 43 – 47 odd, unit 3 test)

We covered other topics this semester, but these will be the only ones on the exam. You will have to know all the formulas for the exam. You will use my class set of graphing calculators during the exam but not all problems can or should be completed using a graphing calculator.

The exam time is given as 90 minutes. You will be allowed an extra 30 minutes taken adjacent to the given exam time slot (either starting early, staying later or a combination of both). Please note this extra time option and plan accordingly.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download