   Chapter 9.2, Problem 4SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 1-4, determine whether the function is continuous and nonnegative on the closed interval. f ( x ) = e − x , [ 0 , 1 ]

To determine

The continuity and non-negativity of a given function f(x)=ex in the given interval [0,1].

Explanation

Given Information:

The provided function f(x)=ex and interval [0,1].

Consider the given function,

f(x)=ex; in [0,1]

Put x=1 in function f(x)=ex,

f(x)=ex=e(1)=e1=2.718

Put x=0 in function f(x)=ex,

f(x)=ex=e0=1

Put x=1 in function f(x)=ex,

f(x)=ex=e1=0.3678

Put x=2 in function f(x)=ex,

f(x)=ex=e2=0

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