f'(x)= 2x- 7 and

Those are, of course, the tangent of the angles they make with the x-axis: , .

Now, use the trig identity

As I said, f'(x)= 2x- 7 so a tangent line, at , through (0, 2) must be of the form . Set and solve forb) for which dots x tangent on graph of the function f in the point (x,f(x)) goes through the point (0,2)?

[tex]Many thanks![/QUOTE]