PROJECT

CONTINUITY/DERIVATIVE

1. Let ,

(a) Graph f(x).

(b) Find:

(i) ___________________

(ii) ___________________

( c) Is f continuous at x = 2? ______________________

(d) If the answer to (c) is ‘No’, redefine f at x = 2 so as to make f continuous

at x = 2.

______________________

2. Let .

(a) Use the defintion of the derivative of a function to find f¢(x).

(b) Use your answer in part (a) to find f¢(-2). ________________________

(c) Then, find the equation of the tangent to the curve at (-2, -2).

(d) Graph the curve , and the tangent line in part (c) .