Pre-Calculus Practice Problem 94

Pre-Calculus Practice Problem 94 - closer to zero fill in...

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Unit 3, Activity 4, The Local and Global Behavior of Ln x Blackline Masters, Advanced Math-Pre-Calculus Page 92 Comprehensive Curriculum, Revised 2008 Part I 1. Using graph paper 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? 2. Reset your window to 0 x 0.01 and -10 y -6. Sketch this graph. Run the trace feature and find the furthest point to the left on the graph. What is it? 3. To get a feel for how rapidly the natural log of x is falling as the x values are getting
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Unformatted text preview: 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 ? 4. Look at the end-behavior of the function. a) Set your window 0 ≤ x ≤ 100 and adjust the y-values so that the graph exits at the right. Is the graph increasing, decreasing, or constant? Describe its concavity. b) Increase the window to -1 ≤ x ≤ 1000 and if necessary adjust the y-values. What do you see? 5. Based on this information how would you describe the global behavior of this function? What is its range? x ln x .01 .001 .0001 .00001 .000001...
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