Question

Determine the range of the following graph

Answer 1

Given:

The graph of a function is given.

To find:

The range of the graph.

Solution:

We know that, the domain is the set of input values and range is the set of output values.

In a graph, domain is represented by the x-axis and range is represented by the y-axis.

From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).

The graph of the function is defined over the interval
`-8<x\leq 3`. So, the domain is (-8,3].

The values of the function lie in the interval
`-8<y\leq 4`. So, the range is (-8,4].

Therefore, the range of the function are all real values over the interval (-8,4].