Basis Ahwatukee PreCalculus AB Midterm Exam Study Guide 2024-2025 PDF

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BASIS Ahwatukee

2024

BASIS AHWATUKEE

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rational functions precalculus asymptotes mathematics

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This document is a study guide for the midterm exam in Precalculus AB for BASIS AHWATUKEE. It covers rational functions and contains multiple-choice questions. The study guide includes clear instructions and questions relevant to the topic.

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MIDTERM EXAM & PRE-COMPREHENSIVE **STUDY GUIDE** 2024-2025 BASIS AHWATUKEE PreCalculus AB Mr. Whiteside **Name (Print):** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Group:** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Unit 6 Rational Functions Multiple Choice** *...

MIDTERM EXAM & PRE-COMPREHENSIVE **STUDY GUIDE** 2024-2025 BASIS AHWATUKEE PreCalculus AB Mr. Whiteside **Name (Print):** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Group:** \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Unit 6 Rational Functions Multiple Choice** **STUDY GUIDE DIRECTIONS:** 1. **PRINT** your name and group on this page. 2. Read and answer the questions carefully. 3. Check your answers with the solutions provided at the end of the document. 4. Ask questions during class. 5. Good Luck!! ![Text Description automatically generated](media/image2.png) A picture containing chart Description automatically generated ![Diagram, schematic Description automatically generated](media/image4.png) Text Description automatically generated ![Text Description automatically generated](media/image6.png) Text Description automatically generated ![](media/image8.png) ![Text Description automatically generated](media/image10.png) Chart Description automatically generated with medium confidence ![Text, letter Description automatically generated](media/image12.png) Diagram Description automatically generated ![Text Description automatically generated with medium confidence](media/image14.png) Text Description automatically generated with medium confidence ![Text, letter Description automatically generated](media/image16.png) Text Description automatically generated ![Graphical user interface, text, application Description automatically generated with medium confidence](media/image18.png) Text Description automatically generated ![](media/image20.png)A picture containing text Description automatically generated ![](media/image22.png) Text Description automatically generated ![](media/image24.png)Text Description automatically generated ![](media/image26.png) A picture containing text Description automatically generated ![](media/image28.png) ![A picture containing shape Description automatically generated](media/image30.png) A picture containing text Description automatically generated ![Chart, line chart Description automatically generated](media/image32.png)Chart, line chart Description automatically generated ![Text Description automatically generated with medium confidence](media/image34.png) Chart, line chart Description automatically generated![Chart, line chart Description automatically generated](media/image36.png) A picture containing text Description automatically generated ![Chart Description automatically generated](media/image38.png)Chart, line chart Description automatically generated ![](media/image40.png) Chart, line chart Description automatically generated Answer Key 147. c\) [\$D\_{f}\\mathbb{= R\\ \\backslash}\\left\\{ - \\frac{5}{2} \\right\\}\$]{.math.inline} 148. c\) [\$R\_{g}\\mathbb{= R\\ \\backslash}\\left\\{ \\frac{2}{5} \\right\\}\$]{.math.inline} 149. c\) [\$R\_{f}\\mathbb{= R\\ \\backslash}\\left\\{ \\frac{3}{2} \\right\\}\$]{.math.inline} 150. b\) [*D*~*f*~ = ℝ ∖{0}]{.math.inline} 151. c\) same direction at [*x* = 2, *x* =  − 3]{.math.inline}\ opposite directions at [*x* = 3]{.math.inline} 152. b\) no holes 153. d\) same direction at [*x* = 2, *x* =  − 1]{.math.inline}\ opposite directions at [*x* = 3]{.math.inline} 154. a\) [\$x = \\frac{1}{2},\\ x = - 3\$]{.math.inline} 155. c\) same direction at [*x* = 2]{.math.inline}\ opposite directions at [*x* =  − 3]{.math.inline} 156. b\) [\$g\\left( x \\right) = \\frac{x\^{2} + 7x + 12}{x\^{2} - 16}\$]{.math.inline} 157. c\) [\$h\\left( x \\right) = \\frac{x\^{2} - 9}{\\left( x + 3 \\right)\^{2}}\$]{.math.inline} 158. b\) [\$k\\left( x \\right) = \\frac{12x\^{2} + 5}{4x\^{2} + 3x + 1}\$]{.math.inline} 159. b\) [\$k\\left( x \\right) = \\frac{(2x - 3)(x\^{2} - 6)}{5x + 4}\$]{.math.inline} 160. b\) [*y* = 2*x* + 1]{.math.inline} 161. c\) [*y* = 0]{.math.inline} 162. d\) no HA or SA 163. d\) [\$g\\left( x \\right) = \\frac{6x\^{3} - 7x\^{2} + 11x - 4}{3x\^{2} - 2x + 4}\$]{.math.inline} 164. a\) VA at [*x* = 2]{.math.inline}, asym in opposite directions\ SA at [*y* = *x* − 1]{.math.inline} 165. d\) [*y* =  − 4]{.math.inline} 166. c\) [\$h\\left( x \\right) = 2\\frac{\\left( x - 2 \\right)\^{2}}{\\left( x + 1 \\right)\\left( x - 3 \\right)\^{2}}\$]{.math.inline} 167. d\) [\$k\\left( x \\right) = 3\\frac{(x + 2)(x - 5)}{(x - 5)(x + 3)(x - 1)}\$]{.math.inline} 168. a) 169. b) 170. d) 171. b)

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