In the following exercises, sketch the graph of a function with the given properties

\(\lim _{x \rightarrow-\infty} f(x)=0, \lim _{x \rightarrow-1^{-}} f(x)=-\infty, \lim _{x \rightarrow 1^{+}} f(x)=\infty, \lim _{x \rightarrow 0} f(x)=f(0)\), f(0)=1, \(\lim _{x \rightarrow \infty} f(x)=-\infty\)

Text Transcription:

Lim_x rightarrow -infty f(x)=0

Lim_x rightarrow -1^- f(x)=-infty

Lim_x rightarrow -1^+ f(x)=infty

Lim_x rightarrow 0 f(x)=f(0)

Lim_x rightarrow infty f(x)= -infty

Jenny Lundberg CI427—Mohr April 9, 2016 Class Notes Agenda 1. Cookbook vs Inquiry revisited 3. FACTs Presentation 3. Workshop 4. Collaboration 5. Check In/Up Time Cookbook vs Inquiry revisited Article: Inquiry On Board (October 2006) My personal Notes: o Brainstorm As a class, discuss possible variables that can be seen in a specific experiment. o Choose Variable Manipulated variable (independent variable) Responding variable (dependent variable) Controlled variables o Ask a Question Question is tied to the manipulated variable o Predict and Outcome Teacher models how to form a prediction Students need to justify their thinking o Set up Experiment Use an inquiry board to organize and sequence how they would like to organize the experiment. Limit students to one experiment of inquiry. Use diagrams in journals to keep them understanding and tracking their experiment. o Table of Results Record observations. Create data table. The effect of the manipulated variable isn’t known yet. o Look for Patterns and Graph of Results Present information on a graph. The visual will help students to answer their question.