# Question Video: Finding the Domain of a Function from Its Graph Mathematics • 9th Grade

The domain of the function π(π₯) is οΌΏ.

01:52

### Video Transcript

The domain of the function π of π₯ is blank.

The function π of π₯ here is represented by these five points. First, we remember that the domain is the set of all possible π₯-values for a function. And then we recognize that on a coordinate grid, the π₯-axis is the horizontal axis, which means the π₯-values of this function will be found by looking at where these points fall horizontally. All the way to the left, we have a point at negative seven. To the right, we have a point at negative six, followed by negative five, negative four, and negative three.

Itβs important to notice that these points are not connected with the line. Because of that, we know that this is not a continuous function and that the domain is then just going to be a list of the possible π₯-values. In set notation, it would look like this: negative seven, negative six, negative five, negative four, and negative three.

If we wanted to, we could consider the range as well. The range will be the possible π¦-values of this function. And that will be how far the points are located up or down, where they fall on the vertical axis. For this function, we have π¦-values of one, two, three, four, and five. And set notation for the range would look like this: one, two, three, four, five.

As this question was only asking for the domain, the domain of π of π₯ here is the set negative seven, negative six, negative five, negative four, and negative three.