use the graph of f to determine each of the following. (a) the domain of f (b) the range of f (c) the zeros…

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(5.5) (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(4) positive or negative? (a) the domain of f is. (type your answer in interval notation.)
Answer
Explanation:
Step1: Identify domain from graph
The domain is the set of all x - values for which the function is defined. Looking at the graph, the left - most x - value is $x=-2$ and the right - most x - value is $x = 6$.
Step2: Write domain in interval notation
The domain includes all values between these endpoints, so the domain is $[-2,6]$.
Answer:
$[-2,6]$