x+4, if x < 2 73. f(x) : X = 2 3x, if x > 2,

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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Can you please solve for #73?

In Exercises 69–80, determine whether or not f is continuous
and/or differentiable at the given value of x. If not, determine
any left or right continuity or differentiability. For the last four
functions, use graphs instead of the definition of the derivative.
1
69. f(x) = -, x= 0
70. f(x) = x²/3, x= 0
|
71. f(x) = |x² – 4|, x= 2
72. f(x) = |x² – 4|, x= -2
-
x + 4, if x < 2
73. f(x) =
X = 2
Зх, ifx> 2,
Transcribed Image Text:In Exercises 69–80, determine whether or not f is continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative. 1 69. f(x) = -, x= 0 70. f(x) = x²/3, x= 0 | 71. f(x) = |x² – 4|, x= 2 72. f(x) = |x² – 4|, x= -2 - x + 4, if x < 2 73. f(x) = X = 2 Зх, ifx> 2,
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