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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

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 ) = 1 x , [ 1 , 4 ]

To determine

The continuity and non-negativity of a given function f(x)=1x in the given interval [1,4].

Explanation

Given Information:

The provided function f(x)=1x and interval [1,4].

Consider the given function;

f(x)=1x in [1,4]

The graph of any function f(x).

For x=0 function f(x) is undefined.

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

f(x)=1x=11=1

Put x=3 in function f(x)=1x,

f(x)=1x=13

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

f(x)=1x=11=1

Put x=3 in function f(x)=1x,

f(x)=1x

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