Explanation Given information: The function is increasing for x < − 1 and − 1 < x < 1 and decreasing for 1 < x < 3 , x

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.4, Problem 48PS

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To sketch: The graph of function g .

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Chapter 4.4, Problem 47PS

Chapter 4.4, Problem 49PS

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1. Consider the graph of the function f (x). (a) Find all the points where f(x)is discontinuous. (b) What kind of discontinuityis each point?

Exer. 43-52: (a) Sketch the graph of f. (b) Find the do- main D and range R of f. (c) Find the intervals on which ƒ is increasing, is decreasing, or is constant. 1-3x 43 f(x) = 44 f(x) = 1000 45 f = |x + 3| 46 f(x)-- V10 – x² 47 f(x) = - Vx + 1 48 f(x) = V2 x %D %3D 50 f(x) = x² + 6x + 16 .2 49 f(x) = 9 – r² %D x² if x <0 51 f(x) = { 3x if 0

1. Sketch the graph of an example of a function f that satisfics all of the given conditions (your answer should consist of only one graph): (a) f(-2) = 2 (b) エー→ー3+ lim f(r) = 0 %3D (c) lim f(r) = 1 エート-3- (d) lim f(r) = 1 %3D エナ-2 (e) lim f(r)=∞ エ→) (f) lim f(r) = 0 エート0 (g) f is continuous at I = -4 but not differentiablc at z =-4 (h) f is continuous from the left at r= -3 Note: your answer should consist of one function (one graph)

Chapter 4 Solutions

Calculus

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The graph of function g .

Solution Summary: The author illustrates the graph of function g in Figure-1.

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To sketch: The graph of function g .

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Chapter 4 Solutions