Use the graph of the function fshown to find:

(a) The domain and the range of f

(b) The intervals on which f is increasing,decreasing,or constant.

(c) The local minimum values and locak maximum values.

(d) The absolute maximum and absolute minimum

(e) Wheather the graph is symmetric with respect to the x-axis,y-axis,or the origin.

(f) Whether the function is even,odd or neither.

(g) The intercepts, if any.

The given graph

From the graph,we can conclude that left horizontal exponents of the graph is till $-\infty ,$and it terminals at $(4,3)$on the right.

Therefore,the domain is$(-\infty ,4]$

From the graph given in question we can see that

f is increasing in $(-\infty ,-2]\cup [2,4]$

f is decreasing in$[-2,2]$

From the graph given in question we see that

Local minima is at$(2,-1)$

Local maxima is at$(-2,1)$

From the graph given question we see that

absolute maxima is at $(4,3)$

This graph has no absolute maxima

From the graph given i question we see that Graph is not symmetric with respect to xandyaxis but symmetric with respect to origin.

From the graph given i question we see that

since it is symmetric with respect to the origin.It is odd function

From the graph given i question we see that

x-intercept$(-3,0)\&(3,0)$

y-intercept$(0,0)$