What I would do, is combine the 4 and the rational into a single fraction, and then use the standard procedure to find the horizontal and vertical asymptotes.
To find your horizontal asymptote, In this case: you will combine the 4 with the rational to make a single fraction, and then your horizontal asymptote will be the first term of the numerator, divided by the first term or the denominator.
Your vertical asymptote will be at the zero of the denominator.
To find the x intercepts, simply set y to 0, and solve for x
i) Pick x-values.
ii) Plug them into the formula.
iii) Find the corresponding y-values.
iv) Write down the point in your table, and plot it.
v) Repeat steps (i) through (iv) until you feel comfortable drawing the graph.
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