Provide an Appropriate Response

question 287

Essay

Provide an appropriate response.
- $$\text { Does the graph of } f ( x ) = \left\{ \begin{array} { l l } 0 , & x > 0 \\5 , & x \leq 0\end{array} \text { have a vertical tangent at the point } ( 0,5 ) \right. \text { ? Give reasons for your answer. }$$

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Definitions:

Adequacy of Consideration

A legal principle that examines whether the value exchanged in a contract is fair and reasonable to all parties involved.

Contract Formation

The process by which parties agree on the terms of a contract, leading to a binding agreement; typically involves offer, acceptance, consideration, and mutual intent.

Past Consideration

A concept in contract law that refers to a benefit or act that has already been given or performed before the promise is made, which is not valid consideration for a current contract.

Bilateral Contract

An agreement involving two parties where each promises to perform an act in exchange for the other's act.