Determine whether the following function is continuous, differentiable, both continuous and differentiable, or neither continuous nor differentiable at the given x value. 4 if x = -3 1. h(x) = x² +2x-3 x = -3 if x + -3' x+3 2. f(x) = |x² – 4|, x = 2

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Determine whether the following function is continuous, differentiable, both continuous and
differentiable, or neither continuous nor differentiable at the given x value.
4
if x = -3
1. h(x)
= {x2 +2x-3
x = -3
if x + -3'
x+3
2. f(x) = |x2 – 4|, x = 2
%3D
Transcribed Image Text:Determine whether the following function is continuous, differentiable, both continuous and differentiable, or neither continuous nor differentiable at the given x value. 4 if x = -3 1. h(x) = {x2 +2x-3 x = -3 if x + -3' x+3 2. f(x) = |x2 – 4|, x = 2 %3D
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