Chapter 4.4, Problem 160E

For the following exercises, graph the functions on a calculator and draw the secant line that connects the endpoints. Estimate the number of points c such that $f\text{'}\left(c\right)\left(b-a\right)=f\left(b\right)-f\left(a\right)$

160. [T] $y=x^6-\frac{3}{4}{x}^5-\frac{9}{8}{x}^4+\frac{15}{16}{x}^3+\frac{3}{32}{x}^2+\frac{3}{16}x+\frac{1}{32}$ over [-1, 1]