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f(x) map onto itself means f(x) = x

the image is the same as the object

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13y ago

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What type of function maps an input onto itself?

A function that maps an input onto itself is called an identity function. In other words, the output of the function is the same as the input. The identity function is represented by the equation f(x) = x.


A rigid transformation always maps a figure onto?

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Which transformations will result in an image that maps onto itself?

Rotate 360 degrees


What is the into and onto function in math?

In mathematics, an "onto" function, or surjective function, is one where every element in the target set has at least one corresponding element in the domain. In contrast, an "into" function is not necessarily onto; it maps some elements from the domain to the target set, but not every element in the target set must be hit by the mapping. Therefore, while all onto functions can be considered into functions, not all into functions are onto.


What can be mapped onto itself by a horizontal translation?

Any function or object that has symmetry about the y-axis can be mapped onto itself by a horizontal translation. This means that if the function or object is shifted horizontally by any distance, it will still look the same.


what transformation will always map a parallelogram onto itself?

Linear transformation is a function between vector spaces that will always map a parallelogram onto itself. Some examples are rectangles and regular polygons.


How do you describe a transfermation that maps an equilateral triangle onto itself for translation?

For translation, the only transformation (not transfermation), is the null translation (0,0).


What figure has symmetry if there is a rotation of 180 degrees or less that maps the figure onto itself?

Any shape with a rotational symmetry of order 2 or more.


What is smallest number of degrees needed to rotate a regular pentagon around its center onto itself?

The smallest number of degrees needed to rotate a regular pentagon around its center onto itself is 72 degrees. This is because a regular pentagon has five sides, and a full rotation is 360 degrees. Dividing 360 by 5 gives you the angle of rotation that maps the pentagon onto itself, which is 72 degrees.


Which regular polygon has a minimum rotation of 45 to carry the polygon onto itself?

The regular octagon is the polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself. An octagon has 8 sides, and when rotated by 360 degrees, it can be divided into 8 equal parts, resulting in a 45-degree rotation for each part. Thus, a rotation of 45 degrees maps the octagon onto itself.


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