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

Question

In which domain does the function decrease?

00:03 Let's find where our function goes down.

00:06 The function decreases when X goes up and Y goes down. Notice the trend.

00:13 At this point, watch closely as the function begins to decline.

00:23 From here, we can determine where the function is decreasing.

00:32 And that's the solution to our problem!

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

$x > 3$

$x>3$