Question

What is the range of the function?2.-54-3-22-1-2 -3 -4

Answer 1

We need to find the range of a function given in graph form. The graph is shown below:

So we need to recall what Range is: the set of y-values that are in fact connected to x-values in our function.

So looking at the image given we realize that the curve that represents such connection does not go further up in the y-axis than the value y = 4.

On the other hand, since the image has branches going down, it seems that all the values for y are represented in that portion of the lower part of the graph.

We can then say that the set of y-values of the Range is defined as:

(in set-builder notation form) ;

`\text{Range}=\left\lbrace y\right|y\leq4\}`

which reads as:

Range = the set of all the y-values that are less than or equal to 4.