(a) Graph the equation y = x3 + 10x + 2 in the standard viewing rectangle. On the...

(a) Graph the equation y = x³ + 10x + 2 in the standard viewing rectangle. On the basis of this view, what can you say about the location of any x-intercepts?

(b) The following viewing rectangle shows that y = x³ + 10x + 2 has an x-intercept either at -0.2 or very close to -0.2.

Find a viewing rectangle to demonstrate that -0.2 is not an x-intercept.

(c) Looking at your picture and your result in part (b), what would you say is the moral of the story?