Given:
The graph of a function.
To find:
The domain and range of the given graph.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that, the graph is defined for the interval (-4,4).
But there is a closed circle at x = -4 and an open circle at x = 4. It means, -4 is included and 4 is not included in the solution set.
Domain: [-4,4)
Domain: ![-4\leq x](https://tex.z-dn.net/?f=-4%5Cleq%20x%3C4)
Range is the set of y-values or output values.
From the given graph it is clear that, the output values are lie in the interval (-3,4).
But there closed circle at x = -3 and x = 4. It means, -3 and 4 are is included in the set of output values.
Range: [-3,4]
Range: ![-3\leq y\leq 4](https://tex.z-dn.net/?f=-3%5Cleq%20y%5Cleq%204)
Therefore, domain is
and range is
.