Question

use the graph of f to determine each of the following
(a) the domain of f
(b) the range of f
(c) the zeros of f
(d) f(3.5)
(e) the intervals on which f is increasing
(f) the intervals on which f is decreasing
(g) the values for which f(x) ≤ 0
(h) any relative maxima or minima
(i) the value(s) of x for which f(x)=3
(j) is f(2) positive or negative?
(a) the domain of f is (type your answer in interval notation.)

Explanation:

Step1: Understand the domain concept

The domain of a function is the set of all possible input values (x - values).

Step2: Analyze the graph for x - values

Looking at the graph, the left - most x - value is \(x=-6\) and the right - most x - value is \(x = 6\).

Answer:

\([-6,6]\)