Graph the function. State the domain and range, and describe how the graph is related to the graph of g(x)=|x|

Answer with Explanation: We have to plot the following function, and find the (i) Domain and (ii) range of it:
[tex]f(x)=-4|x-2|+3\rightarrow(1)[/tex]The plot of (1) is as follows:
(i) Domain:
[tex]D\in(-\infty,\infty)[/tex](ii) Range:
[tex]R\in(-\infty,3][/tex]