Answer the following with reference to the polynomial f(x)=x3−4x+1.
a. (a) Prepare a table of values for x=−3,−2,−1,0,1,2,3.
b. (b) Plot the ordered pairs obtained in part (a) on graph paper and draw a smooth curve through them to represent y=f(x).
c. (c) Using your sketch, state the approximate range of f(x) on the interval [−3,3].
d. (d) From the graph, write the x-intercept(s) and the y-intercept of the curve.