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Earn +20 ptsQ: How do you find vertical asymptote?
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Can the graph of a polynomial function have a vertical asymptote?
no
Is it true that the function has a vertical asymptote at every x value where its numerator is zero and you can make a table for each vertical asymptote to find out what happens to the function there?
Every function has a vertical asymptote at every values that don't belong to the domain of the function. After you find those values you have to study the value of the limit in that point and if the result is infinite, then you have an vertical asymptote in that value
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.
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.
What is the asymptote of a circle?
A circle does not have an asymptote.
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