A line that a function approaches but never actually reaches is called an asymptote. Asymptotes can be vertical, horizontal, or oblique, depending on the behavior of the function as it approaches certain values or infinity. They provide insight into the long-term behavior of the function without being part of its graph.
It gets closer to 0.
As the slope gets bigger the graph becomes closer to vertical - from bottom left to top right.
As a line with a positive slope gets closer to vertical, its slope value increases and approaches infinity. The slope is defined as the rise over run; as the run (horizontal change) approaches zero, the slope becomes steeper. Ultimately, a perfectly vertical line has an undefined slope, as it cannot be expressed as a ratio of rise to run.
The slope of a straight line is commonly described as rise over run. In other words, it's the ratio of the change in the y direction to the change in the x direction. Therefore, lines with greater slopes are closer to vertical. A vertical line has infinite slope, and the slope of a horizontal line is zero.
Asymptote.
asymptote
asymptote
A line that a function approaches but never actually reaches is called an asymptote. Asymptotes can be vertical, horizontal, or oblique, depending on the behavior of the function as it approaches certain values or infinity. They provide insight into the long-term behavior of the function without being part of its graph.
Asymptote
It gets closer to 0.
As the slope gets bigger the graph becomes closer to vertical - from bottom left to top right.
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.
The asymptote is a line where the function is not valid - i.e the function does not cross this line, in fact it does not even reach this line, so you cannot check the value of the function on it's asymptote.However, to get an idea of the function you should look at it's behavior as it approaches each side of the asymptote.
The pressure line is the one closer to the front.The pressure line is the one closer to the front.
It is a continuous function. If the line is a straight line, it is a linear function.
The slope of a straight line is commonly described as rise over run. In other words, it's the ratio of the change in the y direction to the change in the x direction. Therefore, lines with greater slopes are closer to vertical. A vertical line has infinite slope, and the slope of a horizontal line is zero.