Think of asy. as limiting fences to where your graph can travel. If, for example, you graph y = 1/x properly, you'll see that the graph never crosses either the x- or the y-axis. As x increases, your graph will get closer and closer to the line y=0 (which happens to be the horiz. axis), but will not cross it. Similarly, as x approaches x=0, the graph gets closer and closer to the vert. axis, x=0, but will not cross it. Do you see how the asymptotes limit where the graph can go?
Vertical asy. stem only from rational functions and correspond to x-values for which the denominator = 0. As you know, we can NOT divide by zero. Instead, we draw a vertical line thru any x-value at which the rational function is not defined.
Horiz. asy. have to do with the behavior of functions as x grows increasingly large, whether pos. or neg. Go back and re-read my earlier comments on horiz. asy. As x grows incr. large, in the positive direction, the graph of y=1/x approaches, but does not touch or cross, the horiz. asy.I will stop here and encourage you to ask questions if any of this discussion is not clear.
2 because 8 divided by 4 is 2.
Answer:
-4 ≤ x ≤ 6
Step-by-step explanation:
When we talk of the domain, we are referring to the possible x-values
from the diagram, we can see that we have the x-values at -4 and 6
The dotted line means that -4 and 6 are in the domain
Thus, the two points represent the end and starting point of the domain
Writing this in interval notation, we have the representation as;
-4 ≤ x ≤ 6
