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What is the vertical asymptote of 4 divided by x2?
2
True or False if a rational function Rx has exactly one vertical asymptote then the function 3Rx should have the exact same asymptote?
It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
What did the derivative near the horizontal asymptote shout to the derivative near the vertical asymptote?
I don't know, what?
The slope of every vertical line is?
The slope of any vertical Line is undefined because anything divided by zero is undefined.
What has an undefined slope?
A vertical line.
If a function has a vertical asymptote at a certain x-value then the function is at that value?
Undefined
Does every undefined value of fx lead to a vertical asymptote?
No. For example, in real numbers, the square root of negative numbers are not defined.
What is the vertical asymptote of 4 divided by x2?
2
True or False if a rational function Rx has exactly one vertical asymptote then the function 3Rx should have the exact same asymptote?
It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
Is an undefined slope a vertical or horizontal line?
An undefined slope is vertical.
What did the derivative near the horizontal asymptote shout to the derivative near the vertical asymptote?
I don't know, what?
Can the graph of a polynomial function have a vertical asymptote?
no
How do you find vertical asymptote?
One way to find a vertical asymptote is to take the inverse of the given function and evaluate its limit as x tends to infinity.
When a vertical asymptote is reflected over the x axis what does it become?
It remains a vertical asymptote. Instead on going towards y = + infinity it will go towards y = - infinity and conversely.
Why doesnt the graph of a rational function cross its vertical asymptote?
It can.
What is the direction of the line with an undefined slope?
A vertical line has an undefined slope.
Can the graph of a function have a point on a vertical asymptote?
No. The fact that it is an asymptote implies that the value is never attained. The graph can me made to go as close as you like to the asymptote but it can ever ever take the asymptotic value.
