Show that [x² +x + 1, x < 1 | 3x, is continuous at x = 1. Determine whether f is differen- tiable at x = 1. If so, find the value of the derivative there. f(x) = x > 1 Sketch the graph of f.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Show that
х? +x +1, х<1
|3x,
is continuous at x = 1. Determine whether f is differen-
tiable at x = 1. If so, find the value of the derivative there.
f(x) =
x > 1
Sketch the graph of f.
Transcribed Image Text:Show that х? +x +1, х<1 |3x, is continuous at x = 1. Determine whether f is differen- tiable at x = 1. If so, find the value of the derivative there. f(x) = x > 1 Sketch the graph of f.
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