(i) What is the slope of the line through (1, -2)and (x,y) for y = x2 + x 2 when:

a) x = 0.98?

b) x = 1.03?

c) x = 1 + h?

(ii) What happens to this last slope when h is very small (close to 0)?

(iii) Sketch the graph of y = x2 + x - 2 for x near 1.