Q. 9 - Precalculus Enhanced with Graphing Utilities

Question

Concepts and Vocabulary 

True or False: A function f is decreasing on an open interval I if, for any choice of x1 and x2 in I, with x1 < x2 , we have  $f\left(x_1\right)> f\left(x_2\right)$

Step-by-Step Solution

Answer

True

Step 1 : Given information

 A function f is decreasing on an open interval I if, for any choice of x1 and x2 in I, with x1 < x2 , we have f(x1)>f(x2)

Step 2: Decreasing and increasing functions

when x values are increasing and f(x) are increasing then it is an increasing function . 

When x values are increasing and f(x) values are decreasing then it is a decreasing function 

A function f is decreasing on an open interval I if, for any choice of x1 and x2 in I, with x1 < x2 , we have  $f\left(x_1\right)>f\left(x_2\right)$ is true .