Given the graph of the following function, determine the intervals on which f(x)f\left(x\right) is decreasing.

( − 2 , 1 ) \left(-2,1\right)

Given the graph of the following function, determine the intervals on which f ( x ) f\left(x\right) is decreasing.

Using the graph of the following function, determine the intervals on which the function is decreasing. Okay. So when solving these types of problems, what we need to do is imagine that we have a little person that is walking from left to right on our graph. As they go uphill, the function would be increasing. As they go downhill, the function would be decreasing. So that's what we need to focus on. Now looking at this graph, if we're going from left to right, there's really only one place that I can see where we're going to be going downhill, and that's right there. Those that we're going to be going uphill here, we're going uphill there, but this person's gonna be going downhill right about there. So that's where the function is going to be decreasing. So if I wanna write where my function is decreasing, that's going to be this situation, which we can see we start here at negative 2, and then we go all the way over here to positive 1 on the x axis. This is going to be the values or the interval on which my function is decreasing, and that's the solution.