Answer
See the explanation below.
Work Step by Step
(a)
Relative maximum values of the function are the points where the function changes its increasing or decreasing behavior.
Now, consider the given graph. In this graph, the function changes from increasing to decreasing at the point 3.
So, the function has a relative maximum at the point $x=0$.
The value of $f\left( x \right)$ is 3 when $x=0$ and this value is the biggest value of the function in the graph.
Thus, the relative maxima is 3.
Hence, the maxima of $f\left( x \right)$ is 3 when $x=0$.
(b)
The minima of a function is the point where the function has the minimum value when compared to other points in the graph.
Thus, there is no point where $f\left( x \right)$ consists of a minimum value in the domain of the function. Therefore, the minima of the function $f\left( x \right)$ does not exist.
Therefore, there is no minima of $f\left( x \right)$ for the domain of the function.
