Functions are used to represent graphs, and vice versa.
The function represented by the graph is
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
Where
The vertex is the minimum or the maximum point on the graph.
So, we have:
The function becomes
The function also passes through the point (-1,0).
So, we have:
Remove the absolute bracket
Subtract 3 from both sides
Divide both sides by 3
Substitute -1 for (a) in
Hence, the function represented by the graph is
Read more about absolute value graphs at:
