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

i. x = 0.98?

ii. x = 1.03?

iii. x = 1 + h?

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

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