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

use the graph of f to determine each of the following.\n(a) the domain of f\n(b) the range of f\n(c) the zeros of f\n(d) f(4)\n(e) the intervals on which f is increasing\n(f) the intervals on which f is decreasing\n(g) the values for which f(x) ≤ 0\n(h) any relative maxima or minima\n(i) the value(s) of x for which f(x) = 4\n(j) is f(3) positive or negative?\n(a) the domain of f is □. (type your answer in interval notation.)\n(b) the range of f is □ (type your answer in interval notation.)\n(c) the left zero of the function is -2.5 and the right zero is □.\n(d) f(4) = □\n(e) the interval on which f is increasing is □. (type your answer in interval notation.)

use the graph of f to determine each of the following.\n(a) the domain of f\n(b) the range of f\n(c) the zeros of f\n(d) f(4)\n(e) the intervals on which f is increasing\n(f) the intervals on which f is decreasing\n(g) the values for which f(x) ≤ 0\n(h) any relative maxima or minima\n(i) the value(s) of x for which f(x) = 4\n(j) is f(3) positive or negative?\n(a) the domain of f is □. (type your answer in interval notation.)\n(b) the range of f is □ (type your answer in interval notation.)\n(c) the left zero of the function is -2.5 and the right zero is □.\n(d) f(4) = □\n(e) the interval on which f is increasing is □. (type your answer in interval notation.)

Answer

Explanation:

Step1: Find the domain

The domain is all (x -)values covered by the graph. The graph extends from (x=-5) to (x = 6). So the domain is ([-5,6]).

Step2: Find the range

The range is all (y -)values covered by the graph. The lowest (y -)value is (-5) and the highest (y -)value is (4). So the range is ([-5,4]).

Step3: Find the right - zero

The zeros of the function are the (x -)values where (y = f(x)=0). We know one zero is (x=-2.5). Looking at the graph, the other zero is (x = 5).

Step4: Find (f(4))

To find (f(4)), we look at the (y -)value when (x = 4). From the graph, when (x = 4), (y=2), so (f(4)=2).

Step5: Find the increasing interval

A function is increasing when as (x) increases, (y) increases. Looking at the graph, the function is increasing on the interval ([-5,1]).

Answer:

(a) ([-5,6]) (b) ([-5,4]) (c) (5) (d) (2) (e) ([-5,1])