Finding Decreasing Intervals: Analyzing Function Behavior from Graph

Question

In what domain does the function decrease?

–10–10–10–5–5–5555101010–5–5–5555000

Video Solution

Solution Steps

00:00 Find the domain of decrease of the function
00:03 A function decreases when X values increase and Y values decrease
00:06 We can see that the function decreases until X=-1
00:15 Therefore the domain of decrease will be while X is less than (-1)
00:21 And this is the solution to the question

Step-by-Step Solution

Let's remember that the function increases if the X values and Y values increase simultaneously.

On the other hand, the function decreases if the X values increase and the Y values decrease simultaneously.

In the graph, we can see that the function decreases in the domain where x < -1 , meaning that the Y values are decreasing.

Answer

x<-1

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Question Types

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