(1) The figure shows that graph of p(x) =x – 7x3 – 9. Use the intermediate value theorem to prove that p has at least 2 real roots. Use the interval-bisection method to locate both roots in intervals...

Extracted text: (1) The figure shows that graph of p(x) =x – 7x3 – 9. Use the intermediate value theorem to prove that p has at least 2 real roots. Use the interval-bisection method to locate both roots in intervals of width no more that 0.1. [Use a computer to evaluate p(x), e.g. in the Wolfram alpha web portal you can enter “x* – 7x3 – 9 where x = 3" to find that p(3) = – 117.]