Consider the function g(x) = |(x^2 - 4)/(x+3)| do the following:
a) Give the domain of the function
b) find the peaks, valleys, and intercepts of the function.
a) First obtain the singularity for the given function as follows.
The denominator of the given fraction is x + 3.
Thus, for x = –3 is the singularity point .
Then the given function is defined for all values of x except –3.
Therefore, the domain of the given function is
b) From the graph shown below, peak is observed to be the local maximum point.
That is, the peak of the given function is at the point ( -0.76, 1.52).
Valley is a local minimum of the graph.
But here the valleys are at the points (-5.23,10.47), (-2,0) and (2,0).
Thus, the local minimum among those 3 points are (-2,0) and (2,0).
Substitute g(x) = 0 in given equation to...
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