Question: Given the function f(x) = ex; (a) Construct a piecewise linear f(x)using the nodes x = {xo, x, x}= {0,1/2 1}. (b) Write a

Given the function f(x) = ex; (a) Construct a piecewise linear interpolant/approximation q(x) to f(x)using

Given the function f(x) = ex; (a) Construct a piecewise linear f(x)using the nodes x = {xo, x, x}= {0,1/2 1}." (b) Write a python program to plot the results in (a). interpolant/approximation q(x) to Given the function f(x) = ex; (a) Construct a piecewise linear interpolant/approximation q(x) to f(x)using the nodes x = {xo, x, x} = {0,1/2 1}." (b) Write a python program to plot the results in (a).

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