Question

Concepts and Vocabulary

A function f is ___________ on an open interval I if, for any choice of x1 and x2 in I, with$x_1<x_{2}wehavef\left(x_1\right)<f\left(x_2\right)$

Short answer

A function f is increasingon an open interval I if, for any choice of x1 and x2 in I, with

$x_1<x_{2}wehavef\left(x_1\right)<f\left(x_2\right)$

Step-by-step solution

Given information 

Given that in a function f on open interval I

$x_1<x_{2}wehavef\left(x_1\right)<f\left(x_2\right)$

Step 2:  Function 

Given that ,

$$\begin{gathered} x_{1}and{x}_{2}onI.x_1<x_{2}wehavef\left(x_1\right)<f\left(x_2\right) \\ Whenxvaluesareincrea\sin gthenfunctionvaluesarealsoincrea\sin g \end{gathered}$$

A function f is increasingon an open interval I if, for any choice of x1 and x2 in I, with

$x_1<x_{2}wehavef\left(x_1\right)<f\left(x_2\right)$