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November 2nd, 2019, 08:25 PM   #1
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derivative

Consider the function f(x)=6x-x^2 and the point P(2,f(2)=(2,7)).

Find the slopes of secant lines to the graph of y=f(x) determined by P and points on the graph at x=3 and x=1.5

Last edited by skipjack; November 2nd, 2019 at 11:19 PM.
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November 2nd, 2019, 09:02 PM   #2
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$f(2) = 8 \neq 7$

Is there a typo or am I not understanding you?
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November 2nd, 2019, 11:26 PM   #3
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The points are P(2, 8), (3, 9) and (1.5, 6.75),
so the required slopes are (9 - 8)/(3 - 2) = 1 and (6.75 - 8)/(1.5 - 2) = (-1.25)/(-0.5) = 2.5.
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