Question

PLZ HELP ANSWER ALL PARTS A & B PLZ & THANK YOU!

The time required for a certain chemical reaction is related to the amount of catalyst present during the reaction.The domain of the relation is the number of grams of catalyst,and the range is the number of seconds required for a fixed amount of the chemical to react.The following relation is the data from several reactions:[(2,180),(2.5,6),(2.7,0.05),(2.9,0.001),(3.0,6),(3.1,6)(3.1,15)(3.2,37),(3.3,176)}.

A. Is the relation a function?

B. If the domain and range were interchanged,would the relation be a function?Explain.

Answer 1

     "Relation is a function if the terms in domain corresponds a unique value in range"

A). Given relation is a function.

B). Interchanged relation will not be a function.

     A). From the given ordered pairs, x-coordinate represents the term of Domain and y- coordinate represents the Range.

We find each term of domain is associated with a unique term in range.

Therefore, relation is a one-to-one function.

     B). If the terms in range and domain were interchanged, one term 6 of domain relates with two different values of range,

x = 6, y = 2.5

x= 6, y = 3

   Since, a term of domain can't have two different values in range,

   Therefore, interchanged relation will not be a function.

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