   Chapter 1, Problem 1RQ ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### 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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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 