Pre-Calculus Practice Problem 95

Pre-Calculus Practice Problem 95 - Unit 3, Activity 4, The...

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Unit 3, Activity 4, The Local and Global Behavior of Ln x with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 93 Comprehensive Curriculum, Revised 2008 Part I 1. Graph the function f ( x ) = ln x . Use a window with -1 x 10 and -10 y 5. Sketch the graph. What is the domain of f ( x )? For what values of x is x ln < 0? x ln = 0? x ln > 0? Run the trace feature and find the farthest point to the left on the graph. What is it? The domain is {x: x>0}. lnx = 0 at x = 1 so lnx < 0 when x < 1 and lnx > 0 when x > 1. The farthest point to the left is (.053, -2.93) 2. Reset your window to 0 x 0.01 and -10 y -6. Sketch this graph. Run the trace feature and find the farthest point to the left on the graph. What is it? (0.000106, -9.148) 3. To get a feel for how rapidly the natural log of x is falling as the x values are getting closer to zero, fill in the table below. Why do you think these points are not evident on the graph of f ( x ) = x ln ? The y-axis is acting as a vertical asymptote. The calculator is unable to graph the
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This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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