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  3. problem: given f(x)=4x - x2 + k & (1,3+k) on t

PROBLEM: Given f(x)=4x - x2 + k & (1,3+k) on the graph of f. k = 2 a)...

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Basic Math

PROBLEM: Given f(x)=4x - x2 + k & (1,3+k) on thegraph of f.
k = 2

a) Write you equation after substituting in the value of k.

b) Calculate the function values, showing your calculations,then graph three secant lines

i. One thru P(1,f(1)) to P1(0.5,__)

ii. One thru P(1,f(1)) to P2(1.5,__)

iii. One thru P1 toP2                                                                                                                     

c) Find the slope of each of these three secant lines showingallcalculations.                        

d) NO DERIVATIVES ALLOWED HERE! Use the results to estimate theslope
of the tangent line at (1,3+k).

e) How would you improve your approximation?                                                 

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