# Whether the statement, if x 1 &lt; x 2 and if f is a decreasing function, then f ( x 1 ) &gt; f ( x 2 ) is true or false.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1, Problem 4RQ
To determine

## Whether the statement, if x1<x2 and if f is a decreasing function, then f(x1)>f(x2) is true or false.

Expert Solution

Solution:

The statement is true.

### Explanation of Solution

Recall the definition of decreasing function, “the function y=f(x) is said be an decreasing function on the given interval [a, b] if f(x1)>f(x2) whenx1>x2 where x1,x2(a,b).

Thus, the given statement is true as it satisfies the definition of decreasing function.

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