**Question**

9) The graph of *y* = *x*^{3} - 7*x* - 12 is shown below.

The root of the equation *x*3 - 7*x* - 12 = 0 is *p*.

a) Calculate

*y*when*x*= 3.**[1 mark]**

b) Show that 3 <

*p* < 4.

**[2 marks]**

c) Find a smaller interval that contains the value of

*p*.

You must show calculations to support your answer.

............... <

*p*< ...............

**[3 marks]**