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A line which is the reflection of the original in y = x.

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7y ago

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Why a constant function doesn't have an inverse function?

When graphing functions, an inverse function will be symmetric to the original function about the line y = x. Since a constant function is simply a straight, horizontal line, its inverse would be a straight, vertical line. However, a vertical line is not a function. Therefore, constant functions do not have inverse functions. Another way of figuring this question can be achieved using the horizontal line test. Look at your original function on a graph. If any horizontal line intersects the graph of the original function more than once, the original function does not have an inverse. The constant function is a horizontal line. Under the assumptions of the horizontal line test, a horizontal line infinitely will cross the original function. Thus, the constant function does not have an inverse function.


What are the graphs of the inverse trigonometry functions?

If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)


Can the graph of a functions be verticle line?

Yes the graph of a function can be a vertical or a horizontal line


Can you determine whether the inverse of a function is a function by using vertical line test?

Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.


How can you tell if a equation is inverse?

Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).


A straight line on a graph means there is a what relationship?

A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.


Why is the graph of an inverse of a function flipped over the line y x instead of another line?

Because the inverse of a function is what happens when you replace x with y and y with x.


Why is the graph of an inverse of a function flipped over the line y equals x instead of another line?

Because the inverse of a function is what happens when you replace x with y and y with x.


How many different functions are there that are equal to their own inverse?

The inverse of a function is its reflection in the line y=x. so the only function that returns its own inverse is the line y=x or any part of the line y=x


Given the function Fx you can get a picture of the graph of its inverse F-1y by flipping the original graph of Fx over the line?

y=x


What kind of graph compares data over time?

a line graph


What graphing time and distance what kind of graph do you use?

line graph