Question

use the graph of the function f shown to answer parts (a)-(n). (g) what is the domain of f? the domain of f is {x| - 21≤x≤18}. (type a compound inequality.) (h) what is the range of f? the range of f is {y| - 8≤y≤12}. (type a compound inequality.) (i) what are the x - intercept(s)? x = - 18, - 3,12 (type an integer or a simplified fraction. use a comma to separate answers as needed.) (j) what are the y - intercept(s)? y = - 4 (type an integer or a simplified fraction. use a comma to separate answers as needed.) (k) how often does the line y = 1 intersect the graph?

Explanation:

Step1: Identify domain from graph

The left - most x - value is $x=-21$ and the right - most is $x = 18$. So the domain is all x values between these two points, inclusive.

Step2: Identify range from graph

The lowest y - value is $y=-8$ and the highest is $y = 12$. So the range is all y values between these two points, inclusive.

Step3: Find x - intercepts

The x - intercepts are the points where the graph crosses the x - axis ($y = 0$). From the graph, $x=-18,-3,12$.

Step4: Find y - intercepts

The y - intercept is the point where the graph crosses the y - axis ($x = 0$). From the graph, $y=-4$.

Step5: Find intersections with $y = 1$

Visually inspect the graph. The line $y = 1$ intersects the graph 3 times.

Answer:

(g) The domain of $f$ is $\{x|-21\leq x\leq18\}$
(h) The range of $f$ is $\{y|-8\leq y\leq12\}$
(i) $x=-18,-3,12$
(j) $y = - 4$
(k) 3 times