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Asymptote

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Q: What is a line that a graph gets closer and closer to but does not touch?
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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


When the value of a slope gets bigger the graph of a line gets?

As the slope gets bigger the graph becomes closer to vertical - from bottom left to top right.


Why is it okay for a graph to cross one of its's horizontal asymptotes?

There is nothing in the definition of "asymptote" that forbids a graph to cross its asymptote. The only requirement for a line to be an asymptote is that if one of the coordinates gets larger and larger, the graph gets closer and closer to the asymptote. The "closer and closer" part is defined via limits.


In geometry what is an asymptote?

In geometry, an asymptote is a line that approaches the axis of a graph but does not touch or intersect. The line will continue to get closer but will never actually touch the axis. The line is said to be "asymptotic" if this occurs.


Considering the graph of a line with a negative slope what is true?

the line goes down from left to right as the absolute value of the negative slope get bigger, the graph of the line gets steeper as the absolute value of the negative slope gets smaller, the graph of the line gets less steep ( apex )


When the value of the slope gets smaller the graph of a line gets?

less steep (apex)


When the value of the slope gets bigger the graph of a line does what?

It gets steeper.


A line that a function gets closer and closer to but does not reach is called?

Asymptote.


What is the line that a function gets closer and closer to but does not reach is called a what?

asymptote


What absolute value of the slope gets bigger the graph of a line gets?

It gets longer Apex :)


What Happens to the graph of a line when the slope is negative check all that apply?

A. As the absolute value of the negative slope gets bigger, the graph of the line gets steeper B. The line goes up from left to right C. As the absolute value of the negative slope gets smaller, the graph of the line gets less steep D. The line goes down from left to right E. The line shifts down


What happens to the slope when a line gets close to horizontal?

It gets closer to 0.