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$f\left(x_1\right)>f\left(x_2\right)$

Short answer

True

Step-by-step solution

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)

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 .