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Determine Whether the Rule Describes a Function with the Given

question 183

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determine whether the rule describes a function with the given domain and codomain.
- f:RR where f(x)={x2 if x2x1 if x4f : \mathbf { R } \rightarrow \mathbf { R } \text { where } f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } & \text { if } x \leq 2 \\x - 1 & \text { if } x \geq 4\end{array} \right.

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Definitions:

Errors of Straightness

The variation from the desired straight line in the path or surface of a mechanical part.

Diameter

The length of a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Thickness

The dimension from one surface of an object to the opposite surface, important in determining material properties and suitability for particular applications.

Flatness Tolerance

A specification that defines the permissible amount of deviation from a perfectly flat surface.

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