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Earn +20 ptsQ: Can the graph of a polynomial function have a vertical asymptote?
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Can the graph of a rational function have more than one vertical asymptote?
Assume the rational function is in its simplest form (if not, simplify it). If the denominator is a quadratic or of a higher power then it can have more than one roots and each one of these roots will result in a vertical asymptote. So, the graph of a rational function will have as many vertical asymptotes as there are distinct roots in its denominator.
An asymptote is a line that the graph of a function?
approaches but does not cross
What is A line that a graph approaches but does not reach It may be a vertical horizontal or slanted line?
It is an asymptote.
A line is an for a function if the graph of the function gets closer and closer to touching the line but never reaches it?
asymptote
How can you tell if a graph sHow is a function?
Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.
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