Hello Random-Hero-This is what you need to know:

(1)

(2) when

So for these values of does not exist.

(3) The maximum value of is , and this occurs when

So theminimumpositivevalue of is at these values of .

Similarly, themaximum negativevalue of is at

(a) Now let's suppose that the function to give the graph is of the form

Using (3) above, the minimum positive value of is . So, from the graph, .

The first of these is when . So from (3) again,

The next is when . So

Subtracting these two equations, we get

So the function is

(b) Now start with the fact that and see if you can work out similar statements to numbers (1) - (3) above. Then set up the function and work out the values of in the same way.

Grandad