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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If f is a function, then f(s + t) = f(s) + f(t).

To determine

Whether the statement, if f is a function, then f(s+t)=f(s)+f(t) is true or false.

Explanation

The given statement is false since the below example disproves the given statement.

Let the function be f(x)=2x2.

Consider the value of s=1 and t=1.

Find the value of f(s+t),f(s) and f(t) by substituting the respective s and t values.

f(s+t)=f(1+(1))=f(0)=0

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