Finding Decreasing Intervals: Analyzing f(x) Value Table from 0 to 7

Question

In which domain does the function decrease?

f(x)x001223354352607-4

Video Solution

Solution Steps

00:00 Find the domain where the function is decreasing
00:03 The function is decreasing when X values increase and Y values decrease
00:10 From this point the function begins to decrease
00:20 We can deduce from this the domain of decrease
00:29 And this is the solution to the question

Step-by-Step Solution

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

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

According to the given value table, we can see that in the domain where x > 3 X values increase and Y values decrease simultaneously.

Therefore, the function decreases in the domain where

x > 3

Answer

x>3