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: (-INFINF)
(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: (5,18)
(d) Set on which f(x) is strictly decreasing: (-INF-10)U(-5,5)
(e) Set on which f(x) is constant: (-10,-5)
In parts (1).(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: