The function is .
Graph the function on .
Graph of the function on .
(a)
Observe the graph:
Distance from the origin to the -intercept : .
Distance from the origin to the -intercept : .
(b)
Find the distance function as function of .
.
Substitute .
Graph the function and locate the minimum point.
Graph of the function :
Observe the graph:
The minimum distance is occurs at .
(c)
Find the critical numbers by equating first derivative to zero.
Identify the zero using graphing utility:
The zero of the is .
Substitute in .
.
The minimum distance is occurs at .
(a) Graph of the function on .
Distance from the origin to the -intercept : .
Distance from the origin to the -intercept : .
(b)
Graph of the function :
(c) The minimum distance is occurs at .
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