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A graph of y against x has an asymptote if, its y value approaches some value k but never actually attains it. The value k is called its asymptotic value. These are often "infinities" when a denominator in the function approaches 0.
For example, y = 1/(x-2) has an asymptotic value of minus infinity when x approaches 2 from below and an asymptotic value of + infinity from above.
But the asymptotic value need not be infinite - they could be a "normal number.
For example y = 3-x + 2.5 has an asymptotic value of 2.5. y is always greater than 2.5 and as x increases, it comes closer and closer to 2.5 but never actually attains that value.
What else can I help you with?
The graph of the equation below is a hyperbola. What are the slopes of the hyperbola's asymptotic?
7/12 and 7/12 is the answer
How do you determine velocity using a position-time graph?
You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.
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.
What is a pair of numbers to determine the point on a graph?
A pair of numbers are usually (x,y) if u want to determine a point on a graph. Find the value for both x and y and then plot them on a graph
How can one determine the median from a graph?
The answer depends on what the graph is of: the distribution function or the cumulative distribution function.
The graph of the equation below is a hyperbola. What are the slopes of the hyperbola's asymptotic?
7/12 and 7/12 is the answer
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.
What information can you determine from a bar graph that you cannot determine from a circle graph?
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What graph would you use to determine something?
Any graph can be used to determine something!
What is the graph of logarithm functions?
The graph of y = log(x) is defined only for x>0. The graph is a monotonic increasing function over its domain. It starts from an asymptotic "minus infinity" when x approaches 0. It passes through the value y = 0 when x = 1. The graph is illustrated at the link below.
Is a pair of numbers used to determine the position of a point on a graph?
On a 2-D graph, a pair of numbers are used to determine the position of the point on a graph.
How do you determine velocity using a position-time graph?
You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.
How can one determine the initial value on a graph?
To determine the initial value on a graph, look for the point where the graph intersects the y-axis. This point represents the initial value or starting point of the graph.
How can one determine the phase constant from a graph?
To determine the phase constant from a graph, identify the horizontal shift of the graph compared to the original function. The phase constant is the amount the graph is shifted horizontally.
How can one determine velocity from an acceleration-time graph?
To determine velocity from an acceleration-time graph, you can find the area under the curve of the graph. This area represents the change in velocity over time. By calculating this area, you can determine the velocity at any given point on the graph.
How can one determine the wavelength from a graph?
To determine the wavelength from a graph, you can measure the distance between two consecutive peaks or troughs on the graph. This distance represents one full wavelength.
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.
