Minimum Distance Sketch the graph of on the interval .
(a) Find the distance from the origin to the y-intercept and the distance from the origin to the x-intercept.
(b) Write the distance d from the origin to a point on the graph of f as a function of x.
(c) Use calculus to find the value of x that minimizes the function d on the interval . What is the minimum distance? Use a graphing utility to verify your results.
(Submitted by Tim Chapell, Penn Valley Community College, Kansas City, MO)
To graph: The function on the interval .
Set up a table of coordinates to get the graph as:
To calculate: The distance from the origin to the x and y intercepts for the function .
To calculate: The value of x that minimizes the distance from any point on the function to the origin and to verify the result using a graphing utility.
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