# How to solve for horizontal asymptotes

Asymptotes are the curves that show where a function is increasing or decreasing. The x-axis of graphs is always horizontal, so it's easy to tell when a function is increasing or decreasing by looking at its asymptotes. For example, if you draw a graph of distance vs time and the y-axis is vertical and labeled "distance," then it's an exponential function.

## How can we solve for horizontal asymptotes

When the y-axis of the graph is horizontal and labeled "time," it's an asymptotic curve. Locally, these functions are just straight lines, but globally they cross over each other — which means they both increase and decrease with time. You can see this in the picture below: When you're searching for horizontal asymptotes, first look at the local behavior of your function near the origin. If you start dragging your mouse around the origin, you should begin to see where your function crosses zero or approaches infinity. The point at which your function crosses zero or approaches infinity is known as an asymptote (as in "asymptotic approach"). If your function goes from increasing to decreasing to increasing again before reaching infinity, then you have a horizontal asympton. If it crosses zero before going up or down more than once, then you have a vertical asymptote.

Asymptotes are a special type of mathematical function that have horizontal asymptotes. When a function has horizontal asymptotes, it means that the function can never be any higher or lower than the number shown in the equation. If a function is graphed on a number line, it will look like a straight line with a horizontal asymptote at 0. For example, we can say that the value of the function y = 2x + 5 has horizontal asymptotes at x=0 and x=5. In this case, it is impossible for the function to ever get any bigger than 5 or smaller than 0. Therefore, we call this type of function an asymptote. It is important to note that there are two types of asymptotes. The first type is called "vertical asymptotes", which means that the value stays the same from one value to another. For example, if we graph y = 2x + 5 and then y = 2x + 6 (both on the same number line), we can see that both lines stop at x=6. This means that y could never be greater than 6 or smaller than 0. We call this type of asymptote vertical because it stays the same throughout its whole range of values. The second type of asymptote is called "

The horizontal asymptotes are the limits at which the function is undefined. For example, if x = 2 and y = 2, then y = ∞ for any value of x greater than 2 but less than 3. This means that y does not go beyond 2 when x goes from 0 to 3. In a graph, horizontal asymptotes are represented by the horizontal dashed lines in the graph. Horizontal asymptotes are important because they indicate where behavior may change in an unknown way. For example, they can be used to help predict what will happen when a value approaches infinity or zero. The vertical asymptotes represent maximum and minimum values of a function. The vertical asymptote is where the graph of the function becomes vertical, meaning it is no longer increasing or decreasing.

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