The domain of the function 𝑓 of 𝑥
The function 𝑓 of 𝑥 here is
represented by these five points. First, we remember that the domain
is the set of all possible 𝑥-values for a function. And then we recognize that on a
coordinate grid, the 𝑥-axis is the horizontal axis, which means the 𝑥-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.
It’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 𝑥-values. In set notation, it would look like
this: negative seven, negative six, negative five, negative four, and negative
If we wanted to, we could consider
the range as well. The range will be the possible
𝑦-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
𝑦-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 𝑓 of 𝑥 here is the set negative seven, negative six,
negative five, negative four, and negative three.