Draw the graph of the function. YOU DON'T HAVE TO DRAW THE GRAPH JUST ANSWER a,b,c, d,
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Question:
y = f(x) = 5/x
between
x = 1/2
and
x = 4.
Find the slope of the line between the following points.
(a)
x = 3 and x = 3.1
(b)
x = 3 and x = 3.01
(c)
x = 3 and x = 3.001
(d) Now use algebra to find a simplified rational expression for the slope of the line between
(3, f(3))
and
(3 + h, f(3 + h)),
(h ? 0).
(Simplify your answer completely.)______________
(e) What do these slopes tend toward as h is made closer and closer to 0?_________
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