Finding the intercepts, asymptotes, domain and range
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Answer:
See below
Step-by-step explanation:
Vertical asymptotes are dashed lines formed where the denominator of a rational function is equal to 0. Hence, the given vertical asymptote of the function is x=-1.
Horizontal asymptotes are dashed lines where the output lies as the input increases. Hence, as x increases, y approaches -2, meaning that there's a horizontal asymptote at y=-2.
There is only one x-intercept which is -3 since the graph of the function intersects the x-axis only at that point.
There is only one y-intercept which is -6 since the graph of the function intersects the y-axis only at that point.
Given our vertical asymptote of x=-1, our domain is [tex](-\infty,-1)\cup(-1,\infty)[/tex]
Given our horizontal asymptote of y=0, our range is [tex](-\infty,-2)\cup(-2,\infty)[/tex]