Lab 1A - Fall 2016 Limits Math 1730 Section: ____________ Name __________________________________________ Total Points: 53 1. (16 points) Given function ( ) below, fill in the blanks: ( ( ( ) ( ) ( ) ( ) ( ) ( ) ) ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Now open Geogebra from the lab computer (if working from home, go to Geogebra.org). Right click on an empty part of the graph area and select \"grid\". Select the move icon at the top of the screen to shift the graph around to center it. Use your scroll wheel to zoom in and out until you have each box in the grid representing one unit. Use GeoGebra to graph the piecewise function in Question #2 by enter the following commands on the \"input\" line at the bottom left of your screen: If[x<3,3-x] (do not use any spaces and press \"enter\" when complete) If[x>=3,x-2] (do not use any spaces and press \"enter\" when complete) You are now ready to complete questions 2, 3, 4 and 5. Use GeoGebra to draw the graph of each of the following piecewise functions. Then carefully copy the graph onto the given grid below, deciding whether to put in open or closed circles on each endpoint. Finally, find each of the given limits. 3 x for x 3 2. (7 points) f ( x) x 2 for x 3 ( ) ( ) ( ) ( ) ( ) 3. (7 points) { ( ) ( ) ( ) ( ) 4. (13 points) ( ) { ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 5. (10 points) ( ) (Note: You will not need an \"if\" statement here. Type f(x)=-1/x into the input line). ( ) ( ) ( ) ( ) ( ) ( )