Finding Decreasing Intervals: Graph Analysis with x=0.65 Reference Line

Question

In which interval does the function decrease?

Red line: $x=0.65$

00:06 Let's find when the function goes down.

00:09 A function decreases when X goes up, and Y goes down.

00:14 It seems the function is always going down.

00:18 And that's the answer to our question!

Remember that a function is increasing if both the $x$ values and the $y$ values are increasing simultaneously.

A function is decreasing if the $x$ values are increasing while the $y$ values are decreasing simultaneously.

In the graph we can see that the function is decreasing in all domains. In other words, it is decreasing for all $x$ .

All values of $x$