L2 Algebraic Limits - Practice 4
Completion requirements
Unit 1B
Limits
Lesson 2: Algebraic Limits
Practice
Once you feel confident with piecewise functions, click on the Practice tab and complete problem 1. Check your answers by going to the Solutions tab.
Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You will learn the material more thoroughly if you complete the questions before checking the answers.
Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You will learn the material more thoroughly if you complete the questions before checking the answers.
1.
Sketch the graph of the following piecewise function.
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mi mathvariant=¨normal¨»(«/mi»«mi»x«/mi»«mi mathvariant=¨normal¨»)«/mi»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable columnalign=¨left¨»«mtr»«mtd»«mo»§#8722;«/mo»«mi
mathvariant=¨normal¨»x«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mspace width=¨0.125em¨/»«mi mathvariant=¨normal¨»x«/mi»«mo»§#60;«/mo»«mo»§#8722;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«msqrt»«mn»1«/mn»«mo»§#8722;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/msqrt»«mi
mathvariant=¨normal¨»,«/mi»«mo»§#160;«/mo»«mo»§#8722;«/mo»«mn»1«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»§#8722;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mspace
width=¨0.125em¨/»«mi»x«/mi»«mo»§#62;«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»
1.
Sketch the graph of the following piecewise function.
«math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mi mathvariant=¨normal¨»(«/mi»«mi»x«/mi»«mi mathvariant=¨normal¨»)«/mi»«mo»=«/mo»«mfenced open=¨{¨ close=¨¨»«mtable
columnalign=¨left¨»«mtr»«mtd»«mo»§#8722;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mspace
width=¨0.125em¨/»«mi mathvariant=¨normal¨»x«/mi»«mo»§#60;«/mo»«mo»§#8722;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«msqrt»«mn»1«/mn»«mo»§#8722;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/msqrt»«mi mathvariant=¨normal¨»,«/mi»«mo»§#160;«/mo»«mo»§#8722;«/mo»«mn»1«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»§#8722;«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mspace
width=¨0.125em¨/»«mi»x«/mi»«mo»§#62;«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mrow»«/mstyle»«/math»
