Question Video: Evaluating a Function from Its Graph

Determine 𝑓(1).

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Video Transcript

Determine 𝑓 of one.

Here we see the function 𝑓 of π‘₯ is a piecewise function. We know this because it’s made up of the graphs of two different functions. The first part of the graph is defined over the interval from negative two to one. But of course, this empty circle tells us that it’s not defined by this graph at this point. Then the second part of the function is defined over the interval from one to eight. Once again, the empty dot tells us that it’s not defined at π‘₯ equals one by this portion of the graph.

And so, how are we going to determine 𝑓 of one? Well, we can’t. 𝑓 of one is totally undefined according to our graph. There are plenty of values that we can find. For example, 𝑓 of five is equal to one, as is 𝑓 of negative one. But 𝑓 of one is completely undefined according to our graph.

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