Draw, on your own axes, a possible graph of the curve y = f(x) where f(x) must satisfy the following conditions: f(x) is defined and continuous everywhere except at x = 0. • lim f(x) = 2 f(0) = 4 f'(x) > 0 for æ < 0 and x >4 f'(2) < -1 f is not differentiable at a = 4 %3D

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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Draw, on your own axes, a possible graph of the curve y = f(x) where f (x) must satisfy the
following conditions:
f (x) is defined and continuous everywhere except at x = 0.
• lim f(x) = 2
f(0) = 4
%3D
f' (x) > 0 for x <0 and x > 4
f'(2) < –1
f is not differentiable at x = 4
Make sure to draw big, label your graph, and mark off enough æ and y values to make it clear
and readable.
Then double check that each condition is satisfied! Also make sure that your graph is a graph of
a single function.
Transcribed Image Text:Draw, on your own axes, a possible graph of the curve y = f(x) where f (x) must satisfy the following conditions: f (x) is defined and continuous everywhere except at x = 0. • lim f(x) = 2 f(0) = 4 %3D f' (x) > 0 for x <0 and x > 4 f'(2) < –1 f is not differentiable at x = 4 Make sure to draw big, label your graph, and mark off enough æ and y values to make it clear and readable. Then double check that each condition is satisfied! Also make sure that your graph is a graph of a single function.
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