Increasing Function Intervals: Graph-Based Domain Investigation

Question

In what domain does the function increase?

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Video Solution

Solution Steps

00:00 Find the increasing domain of the function
00:04 The function increases when X and Y values increase simultaneously
00:07 This is the increasing domain of the function
00:11 Find the start and end points of the increasing domain
00:16 And this is the solution to the question

Step-by-Step Solution

First we need to remember that the function increases if the X and Y values increase simultaneously.

Conversely, the function decreases if the X values increase while the Y values decrease simultaneously.

In the given graph, we can see that the function increases in the domain where 1 > x > -1 , meaning the Y values are increasing.

Answer

1 > x > -1

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Increasing and Decreasing Intervals (Functions) Functions for Seventh Grade Increasing functions Decreasing function Constant Function Decreasing Interval of a function Increasing Intervals of a function

Question Types

Increasing and Decreasing Intervals of a Function: Finding Increasing or Decreasing Domains