calculus 1 hw

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fnrrqol1

Mathematics

University of South Florida

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Limits 1: Limit of a Function .Y Model 1: Guessing a Limit of a Function from a Graph or Table 1 y = f(x) 3.r?-12 y = f(x) 151 f(x)=- 1.9 1 X-2 11.7 11.97 11.997 1.99 1.999 101 2 2.001 2.01 2.1 3 12.003 12.03 12.3 -3/-2 -1 1 2 3 4 5 6 7 8 9 10 11 12 Construct Your Understanding Questions to do in class) 1. For the function in Model I, what is... (add your answers to the empty boxes on the table) a. |(1)= b. f(2)= c. |(3) 2. For f(x) in Model 1... d. What is the meaning of the open circle on the graph at the point where r = 2? (Check your work) Does this confirm your answer to Question 1b? Explain. b. Use the table to guess what y' value (x) is approaching as x approaches 2. We call this the "limit of f(x) as x approaches 2", which is written... lim f(x) 12 c. The y value associated with the open circle on the graph in Model 1 is 12. Make a hash mark for this value of y at the appropriate place on y-axis in Model 1, and label it with a 12. (Check your work) Is this consistent with your answer to Question 2b? y = f(r) 3. Guess cach limit using the graph. 151 lim $(x) = 101 101 lim f(x) -3-2-1 1 2 3 4 6 7 8 9 1 -3 -2 -1 Y7:150767 POGIL WWW DOORG Co 2013
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a. f(1) = (3 – 12)/(1 – 2) = -9/-1 = 9
b. f(2) = undefined
c. f(3) ...


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