Firstly, an oblique asymptote is also known as a slant asymptote and is a slant line that the graph approaches as x approaches positive or negative infinity.
If the graph of a function has an oblique asymptote at y = 3x + k, it means that as x approaches positive or negative infinity, the function gets closer and closer to the line y = 3x + k.
To find the value of k, you need to divide the leading term of the function by the leading term of the oblique asymptote. In this case, the leading term of the function is be the term with the highest power of x. In particular, find the limit of f(x) / (3x) as x approaches positive or negative infinity. This will give you the value of k.
Overall, if the graph of a function has an oblique asymptote at y = 3x + k, it means that the function behaves similarly to the line y = 3x + k as x approaches positive or negative infinity.
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