To find: The graph for the member of the family of given functions for several values of and then determine how the graph changes.
The required graph is shown in Figure 1 and the graph is deeper at as the value of increases.
The given function is .
Consider the given functions equations,
The graph for the given function for the different values of is shown in Figure 1
The graph shows it is seen that for the function is defined at every point and as the value of increases the dip of the graph at increases.
Consider the graph for .
Thus, the graph asymptotes at .
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