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A line which is the reflection of the original in y = x.
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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.
How can you tell if one function is the inverse of another?
draw them both out on a graph and then draw the line y=x through the origin. If one function is a reflection of the other, it is the inverse
What does data look like?
a data i like a graph it could be any kind of graph pie,bar,line graph
What is secx?
secx is the inverse of cosx. secx=1/cosx. A secant is also a line drawn through the graph that touches two points on a function.
How are the graphs of inverse functions symmetric?
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0
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).
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.
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.
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
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.
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
