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

Question

In which interval does the function decrease?

Red line: $x=0.65$

00:00 Find the domain of decrease of the function

00:03 A function is decreasing when X values increase and Y values decrease

00:07 It appears that the function is always decreasing

00:11 And this is the solution to the 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 $x$