Question

the graphs of the functions ( g ) and ( h ) are shown below. for each graph, find the absolute maximum and absolute minimum. if no such value exists, click on
one\.
assume that the dashed line shown is a vertical asymptote that the graph does not cross.
(a) graph of ( g ) (b) graph of ( h )
absolute maximum of ( g ):
absolute minimum of ( g ):
absolute maximum of ( h ):
absolute minimum of ( h ):

Explanation:

Step1: Analyze the graph of \(g\)

For the graph of \(g\), we look for the highest and lowest points among the solid - point values (since the dashed line is a vertical asymptote and the function does not cross it). The highest \(y\) - value among the solid - point values is \(6\) (the \(y\) - coordinate of the highest solid point). The lowest \(y\) - value among the solid - point values is \(0\) (the \(y\) - coordinate of the lowest solid point).

Step2: Analyze the graph of \(h\)

For the graph of \(h\), we look for the highest and lowest points. The highest \(y\) - value is \(4\) (the \(y\) - coordinate of the highest point). The lowest \(y\) - value is \(- 2\) (the \(y\) - coordinate of the lowest point).

Answer:

Absolute maximum of \(g:6\)
Absolute minimum of \(g:0\)
Absolute maximum of \(h:4\)
Absolute minimum of \(h:-2\)