Consider the function f [0, 1]→ R defined so that f(0) = 0, and, for all x = (1/(n + 1), 1/n], where n is any positive integer, f(x) = 1/n. (a) Draw the graph of the function f.

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.

6. Sketch: f(x) = [x+ 2] -1, on [-2,2]

3. Determine whether f is differentiable or not differentiable at 1. (x – 1 if x > 1 (-x² _if x <1 f(x) = f is differentiable at 1. f is NOT differentiable at 1.