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

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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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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