Oct 30, 2013 ... Honors Trigonometry/Pre-Calculus Chapter 2 Exam Study Guide. The Chapter 2
exam will be administered on Wednesday October 30th or ...
Honors Trigonometry/Pre-Calculus Chapter 2 Exam Study Guide The Chapter 2 exam will be administered on Wednesday October 30th or Thursday October 31st. This is a closed notes and non-calculator free response exam. A thorough and exhaustive review include completing all assigned homework problems, the chapter 2 practice test, and this study guide. Section 2.1 -2.7
2.5 2.3
Topic Synthesis
Problems P.102 Exc 63-64 P. 115 Exc 99-104 P. 130 Exc 95-96 P. 138 Exc 81-86 P. 145 Exc 65-66 P. 155 Exc 45-46 P. 164 Exc 87-88
Writing the equation of a polynomial given its roots Find the roots of a polynomial given the polynomial and a complex root
P. 145 Exc 37-42 P. 145 Exc 51-58
The majority of this exam focuses on sketching polynomials (Section 2.2/2.3) and sketching rational functions (2.6/2.7) by hand. Answer all the questions below for each polynomial and rational function. Check your answers using your graphing utility.
For each polynomial, (a) State all the zeros, (b) Write the polynomial as a product of linear factors, (c) State the y-intercept, (d) Find f ' ( x) , (e) State the critical numbers, (f) State the maxima(s) and/or minima(s), (g) Find f (5) , (h) Sketch the polynomial using the zeros, maxima(s), and minima(s), (i) Write the interval(s) when f ' ( x) 0 , (j) Write the interval(s) when f ' ( x) 0 , (k) Write the interval(s) when f ' ( x) 0 , (l) State the domain, (m) State the range, (n) Explain whether the graph is a function or not 1. f ( x) x 4 4 x 3 3x 2 4. l ( x) 3x 3 5x 2 6 x 4
2. h( x) x 4 9 x 2 20
3. k ( x) 2 x 3 3x 2 8x 3
5. m( x) 4 x 4 17 x 2 4
6. x 4 x 3 2 x 4
For each rational function sketch each graph by hand with at least 5 total points and find all that apply: (a) y-intercept(s), (b) x-intercept(s), (c) vertical asymptote(s), (d) horizontal asymptote(s), (e) slanted asymptote, and (f) holes in the graph, (g) Write the interval(s) when f ' ( x) 0 , (h) Write the interval(s) when f ' ( x) 0 , (i) Write the interval(s) when f ' ( x) 0
x 2 16 1. f ( x) x4 4. l ( x)
x2 x 2 x 1
x2 9 2. h( x) x3 5. m( x)
3. k ( x)
x2 x x 1
6.
2x 1 x2 1
x2 9 x 2 2x 3
