GCC MAT 220 - Homework MAT220 Algebra and Trigonometry Review - D1907783

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GCC MAT 220 - Homework MAT220 Algebra and Trigonometry Review

School name Glendale Community College-AZ

Course Mat 220- Calculus With Analytic Geometry I

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Homework MAT220 Algebra and Trigonometry Review I. (Properties of Fractions) True or False? 1. 2236xxx3x1x 61111 2 32xx ____________________________ 2. 3 5 3 56 6 6 ________________________ 3. 4 5 4 57 7 7 __________________________ 4.        226161561 1 1xxxxxxx x x   1x  6111xxxx   ______________________ 5. 2 3 5x y x y _________________ 6. 2 3 6x y x y ___________________ II. ( GCF) Factor out the GCF (and simplify if possible, fractions and negative symbols should be out front) 1. 22xxx e xe 2.       32221 2 4 13x x x x   III. (Simplifying Algebraic Fractions) Simplify the following fractions (be sure to write x  if applicable) 1. 2264xxx 2. 2322 153 9 27xxx x x   3. 23213 3 1xx x x  IV. (Finding zeros of Polynomial Functions) Find all of the zeros for each of the following polynomial functions. 1.  542 2 1f x x x x    2.  4 3 26 11 13 16 12f x x x x x     3.  5 4 3 22 4 8 3 6f x x x x x x      V. A. (Multiplying by 1) Perform the indicated operation, simplify if possible. 1. 3146 2. 229 2 73 2 8 3 4xx x x x    3. 222212 2 246 8 6x x x xx x x x       B. (conjugation) Rationalize the denominator by “multiplying by 1”. Be sure to simplify your result and give a complete answer. 1. 732xx 2. 123xx C. (adding zero) Complete the square to transform the quadratic function into the “graphing form”    2f x a x h k   1.  22 4 6f x x x   VI. (lines) 1. What “type” of lines have a slope of zero? ____________________________ 2. What “type” of lines have a slope that is undefined? _________________________ 3. Find the equation of the line that passes through the two points    2, 5 3,7and. Write your final answer in slope-intercept form. VII. (Absolute Value functions) 1. Write  36f x x as a piecewise defined function (using the definition of absolute value). Be sure to show exactly where the domain is split. VIII. (Piecewise defined functions) 1. Graph  2716 1 757xxg x x xxx      2. Write a piecewise defined function for the graph given below…IX. Find each of the following… 1 1 13 1 3 51.tan 2.cos 3.sin 4.sin cos 5.tan tan4 2 2 5 6                                         X. (Simplifying Trigonometric Fractions) Simplify the following fractions (be sure to write x  if applicable) 1. 44cos sin2cos2xxx 2. sin 2sinxx 3. 21

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