Let f be a continuous fuction whose graph is shown above(the graph start at (-3,3), and goes to the right with a slope of zero until (0,3), then the graph decreases with a slope of -1 until the point (6,-3), where it then goes to the right with a slope of zero to the point (9,-3)) and let h(x)=integral from -2 to x of f(t) dt.
1) Find the zeros of h. Justify your answer.
2) On what interval is h increasing? Show the analysis that leads to your conclusion.
3) What is h(0)?
4) For x is greater than or equal to 0 and less than or equal to 6, express h in terms of x.
2007-04-10
07:12:24
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3 answers
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asked by
Anonymous
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Mathematics