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Considering an asymptote as a tangent to the curve "at infinity", the asymptote is the straight line itself.
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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
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.
What is the end behavior of a linear function?
Assuming the domain is unbounded, the linear function continues to be a linear function to its end.
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
To fill out a sign chart you will need to use test numbers and each of the function's zeros and asymptotes?
true
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.
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,
How many vertical asymptotes does the graph of this function have?
2
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.
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 can a bounded function have?
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.
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
Is linear function the same as linear equations?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
