Above is part of the graph of a function $f(x)$. It's impossible to show the entire graph in a finite region because it is too large. The left side of the graph is the left half of a line; imagine the rest of the line extending off to the left. The right side of the graph is the right half of a diagonal line; imagine the rest of the line extending off to the right.

Given this information, find the following. In parts (a)-(e) write your answers using interval notation:

(a) Domain:
(b) Range:

In parts (c)-(e) do not include endpoints in the intervals. (People disagree on whether or not to call a function "strictly increasing" at an endpoint). In other words, pretend all your intervals are open.
(c) Set on which $f(x)$ is strictly increasing:
(d) Set on which $f(x)$ is strictly decreasing:
(e) Set on which $f(x)$ is constant:

In parts (f),(g) list the $y$-coordinates ($y=f(x)$) of the local maxima and minima. Use commas to separate distinct values if there are more than one. Enter NONE if there are none.

(f) Local maxima:
(g) Local minima: