8 Consider the graph of the function y = f(x) given. -6- the rectangles a) Clearly sketch corresponding to a left Riemann sum with n = 4 that cstimates the definite integral f(x)dx. b) Write out in...

Extracted text: 8 Consider the graph of the function y = f(x) given. -6- the rectangles a) Clearly sketch corresponding to a left Riemann sum with n = 4 that cstimates the definite integral f(x)dx. b) Write out in long form (that is, write out all the terms) an algebraic expression corresponding to that left Riemann sum with n=4 that estimates the definite integral f(x)dx. You may use "f (1)" or your estimate for f (1) and other similar values in your expression. c) Do you think your response in () an overestimate or an underestimate? Why? d) Explain what you would have to do in order to improve this approximation. Take your explanation all the way to actually calculating the exact area.