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. Letf be a function domain all reals, and with values as shown below: -1 .5 .9 1.1 1.5 3 f{x) 1 1.5 1.75 1.9 2.1 2.1 2.1 2.1 It (kind of) appears that lim f(x) = 2. Show with a graph below, that in fact it is possible that lim f (x) = 0. It x→1 may help to first try to plot the points shown using a reasonable scale. Then ask

. Letf be a function domain all reals, and with values as shown below: -1 .5 .9 1.1 1.5 3 f{x) 1 1.5 1.75 1.9 2.1 2.1 2.1 2.1 It (kind of) appears that lim f(x) = 2. Show with a graph below, that in fact it is possible that lim f (x) = 0. It x→1 may help to first try to plot the points shown using a reasonable scale. Then ask

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Let f be a function domain all reals, and with values as shown below: -1 .5 .9 1.1 1.5 f(x) 1.5 1.75 1.9 2.1 2.1 2.1 2.1 It (kind of) appears that lim f (x) = 2. Show with a graph below, that in fact it is possible that lim f (x) = 0. It X→1 may help to first try to plot the points shown using a reasonable scale. Then ask 4. Give a formula for a function that is continuous at all reals, but is differentiable at all reals except x = -1. DO NOT use a piecewise defined function here! Give me a rough sketch of the graph as well. 5. Fill in the limits below in a way that ensures that y = f(x) has a vertical asymptote of x = 3 and a horizontal asymptote of y = -2. Sketch the graph of any function that has your limits. lim f (x) = lim f (x) =
Transcribed Image Text:3. Let f be a function domain all reals, and with values as shown below: -1 .5 .9 1.1 1.5 f(x) 1.5 1.75 1.9 2.1 2.1 2.1 2.1 It (kind of) appears that lim f (x) = 2. Show with a graph below, that in fact it is possible that lim f (x) = 0. It X→1 may help to first try to plot the points shown using a reasonable scale. Then ask 4. Give a formula for a function that is continuous at all reals, but is differentiable at all reals except x = -1. DO NOT use a piecewise defined function here! Give me a rough sketch of the graph as well. 5. Fill in the limits below in a way that ensures that y = f(x) has a vertical asymptote of x = 3 and a horizontal asymptote of y = -2. Sketch the graph of any function that has your limits. lim f (x) = lim f (x) =
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