Question

use the graph of f in the figure to do the following.
a. find the values of x in the interval (0,5) at which f is not continuous.
b. find the values of x in the interval (0,5) at which f is not differentiable.

a. in the interval (0,5), f is not continuous at x =
(use a comma to separate answers as needed)

Explanation:

Identify points of discontinuity in the interval (0,5)

$$
LATEXBLOCK0
$$

Verify continuity at other points in (0,5)

$$ \text{For all other } x \in (0,5) \setminus \{2, 3\}, \text{ the curve is unbroken, so } f \text{ is continuous.} $$

Answer:

In the interval (0,5), f is not continuous at x = <blank>2, 3</blank>