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I believe the maximum would be two - one when the independent variable tends toward minus infinity, and one when it tends toward plus infinity. Unbounded functions can have lots of asymptotes; for example the periodic tangent function.
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How many non-verticle asymptotes can a rational function have?
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
Can a rational function have no vertical horizontal oblique asymptotes?
No, it will always have one.
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
A function has vertical asymptotes at x-values for which it is and near which the function's values become very positive or negative numbers?
Undefined; large
How many vertical asymptotes does the graph of this function have?
2
How many non-verticle asymptotes can a rational function have?
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
A sign chart helps you record data about a function's values around its and asymptotes?
A sign chart helps you record data about a function's values around its _____ and _____ asymptotes. zeros vertical
The vertical of the function secant are determined by the points that are not in the domain?
Asymptotes
Why are asymptotes important characteristics of rational functions?
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
Can a rational function have no vertical horizontal oblique asymptotes?
No, it will always have one.
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
Which function has no horizontal asymptote?
Many functions actually don't have these asymptotes. For example, every polynomial function of degree at least 1 has no horizontal asymptotes. Instead of leveling off, the y-values simply increase or decrease without bound as x heads further to the left or to the right.
To fill out a function's you will need to use test numbers before and after each of the function's and asymptotes.?
sign chart; zeros
How many asymptotes does a ellipse have?
None.
A function has vertical asymptotes at x-values for which it is and near which the function's values become very positive or negative numbers?
Undefined; large
