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Unformatted text preview: Project 2
MAC 2311 Spring 2006
1. Examine the piecewise deﬁned function below: 3 x |x| f (x) = 0 x<2 x>2 Sketch the graph carefully on the axes below: Give the domain of the function in interval notation. Give the range of the function in interval notation. List the interval(s) on which the function is increasing/decreasing. 1 2. For this problem we will work with the function f (x) = √ x. Give a quick sketch of the function f (x) on the axes below. Write a function d(ω ) that represents the distance from the point ( 0, 0 ) to the point on the graph of f (x) that corresponds to x = ω . Illustrate this in your picture above by labelling the two points and drawing the line between them in the three cases when ω is chosen to be 1, 4, or 9. What is the domain of the function d(ω ) in the current context? If you were simply given your function d(ω ) as a formula without any context, what would its domain be? 2 ...
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- Fall '08
- Calculus, Continuous function