MATH 1680 Study Guide - Midterm Guide: Intermediate Value Theorem, Product Rule

Find the numbers at which the function:

x+2 if x<0

f(x)= 2x^2 if 0< or = x < or = 1

2-x if x>1

is discontinuous. At which of these points is f continuous fromthe right, left or neither? Sketch a graph of F.

2. (12 points) I 2? + 3.0 -1 if > 2 (a) Let f(x) = { Find all values of k such that f is k2.– 1-1 if I<2 continuous at r = 2. (b) Find the point(s) on the curve y² +ry-r? = 9 where the tangent line is parallel to the line 2.0 + 4y +3=0.