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symmetric about the y-axis
symmetric about the x-axis
symmetric about the line y=x
symmetric about the line y+x=0
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Which functions have graphs that are a symmetrical with respect to the origin?
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
What linear functions are non inverse function?
x = constant.
What is the important similarity between the uniform and normal probability distribution?
They are both continuous, symmetric distribution functions.
What is a set of functions whose graphs have basic characteristics in common?
a family function
When f of g of x equals x?
f and g are inverse functions.
Which functions have graphs that are a symmetrical with respect to the origin?
The only shape that is symmetric about a point are a circle, sphere and their multi-dimensional counterparts. There are many more functions that are symmetric about the axes or specific lines.
How are inverse graphs used?
The answer will depend on which functions are inverted.The answer will depend on which functions are inverted.The answer will depend on which functions are inverted.The answer will depend on which functions are inverted.
What has the author Alphonsus Lawrence O'Toole written?
Alphonsus Lawrence O'Toole has written: 'On symmetric functions and symmetric functions of symmetric functions' -- subject(s): Symmetric functions
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)
Why inverse is called Circular function?
An inverse is NOT called a circular function. Only inverse functions that are circular functions are called circular functions for obvious reasons.
What are the two types of inverse functions?
These are the for inverse operations:Multiplications inverse is divisionDivisions inverse is multiplicationAdditions inverse is subtractionSubtractions inverse is addition
Is inverse of a function always positive?
No.Some functions have no inverse.
What is the difference of odd and even functions?
An even function is symmetric about the y-axis. An odd function is anti-symmetric.
What are the graphs of reciprocal functions?
They are hyperbolae.
What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
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 is a relation and its inverse relation whenever both relations are functions?
inverse function
