Find the domain and range of the graph, write as an interval or union of intervals.Find all x-intercepts and y-intercepts.
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the domain is the values the function takes on the x-axis and the range it's the same for the y-axis, as we can see this is a rational function, so we need to use the information of the asymptotes to know the values of the domain and range, so:
domain:
the function goes from -infinity to the first asymptote x=-4 and from the same asymptote to infinity
so the domain is:
(-∞,-4) (-4,∞)
range:
go from -infinity to the asymptote on y=2 and from there to infinity, so:
(-∞,2) (2,∞)
and the intercept we can see from the graph:
x-intercept: x=4
y-intercept: y=-2