1) Find the values of constants c and k that make f(x) continuous on real numbers.

{ x + 2c, if x < -2,

f(x) = { 3cx + k, if -2≤ x ≤ 1,

{ 3x - 2k, if x >1.

* The bracket { is supposed to be a big one. So instead I put down three of them. :)

2) Let

{ x^2 + 2x, if x< -1

g(x) = { 0, if -1 ≤ x ≤ 1,

{ ln x, if x>1.

a) Where is g(x) not continuous ?

b) Where is g(x) not differentiable?

{ x + 2c, if x < -2,

f(x) = { 3cx + k, if -2≤ x ≤ 1,

{ 3x - 2k, if x >1.

* The bracket { is supposed to be a big one. So instead I put down three of them. :)

2) Let

{ x^2 + 2x, if x< -1

g(x) = { 0, if -1 ≤ x ≤ 1,

{ ln x, if x>1.

a) Where is g(x) not continuous ?

b) Where is g(x) not differentiable?