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 toP2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
c) Find the slope of each of these three secant lines showingallcalculations.                       Â
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?                                                Â
