Finding Decreasing Intervals: Analyzing Function Values from -2 to 10

Question

In which domain does the function decrease?

f(x)x-210-1.58-160423353.57109

Video Solution

Solution Steps

00:00 Find the domain of decrease of the function
00:04 The function decreases when X values increase and Y values decrease
00:11 From this point the function starts to increase
00:19 We can deduce from this the domain of decrease
00:28 And this is the solution to the question

Step-by-Step Solution

Let's remember that a function is increasing if both X values and Y values are increasing simultaneously.

A function is decreasing if X values are increasing while Y values are decreasing simultaneously.

According to the value table, we can see that in the domain x < 2 , X values are increasing while Y values are decreasing simultaneously. Therefore, the function is decreasing in the domain x < 2

Answer

x<2