Answered: List the points in the graph in the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

Section: Chapter Questions

Problem 13E

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Question

List the points in the graph in the interval

−2<x<8

at which the function is not differentiable.

-4-2246810246810xy

A coordinate system has a horizontal x-axis labeled from negative 5 to 10 in increments of 1 and a vertical y-axis labeled from negative 1 to 10 in increments of 1. A curve passes through the following points: left parenthesis negative 2 comma 1 right parenthesis comma left parenthesis negative 1 comma 2.7 right parenthesis comma left parenthesis 0 comma 3 right parenthesis comma left parenthesis 1 comma 2.7 right parenthesis comma left parenthesis 2 comma 1 right parenthesis comma left parenthesis 3 comma 4 right parenthesis comma left parenthesis 4 comma 5 right parenthesis comma left parenthesis 5 comma 4 right parenthesis comma left parenthesis 6 comma 1 right parenthesis. It starts at the first point and ends at the last point. Open circles are on the curve at (4, 5) and (6, 1). A closed circle is at (4, 3). A line segment connects two closed circles at (6, 3.9) and (8, 4.5). All coordinates are approximate.

The function is not differentiable at

x=enter your response here.

(Use a comma to separate answers as needed.)

List the points in the graph in the interval -2<x<8 at which the function is not differentiable.
10
A)
8
Q
Q
The function is not differentiable at x =
(Use a comma to separate answers as needed.)

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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