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Sagot :
We will look at how to evaluate a function for one of the value from a defined domain.
Domain is a set of values over which the function is defined. These are set of values of ( x ) that serves as an input to the function.
Function expresses an input -> output relationship usually expressed as an amalgam of different mathematical expressions. The function evaluates the output for every set value of ( x ) from the domain. The mathematical expressions ( relationships ) are given in terms of the input variable(s).
We are given the following function as follows:
[tex]f\text{ ( x ) = 3x + 4}[/tex]The above functions isd efined for all the real values. Hence, the domain of the above function is defined as:
[tex]\text{\textcolor{#FF7968}{Domain:}}\text{ x :-> ( -}\infty\text{ , }\infty\text{ )}[/tex]We will evaluate the above function for one of the values from the domain. We will plug in the value of input ( x = 2 ) into the function. Then we will evaluate the function f ( x ) as follows:
[tex]\begin{gathered} f(2)\text{ = 3}\cdot(2)\text{ + 4} \\ f(2)\text{ = 6 + 4} \\ \textcolor{#FF7968}{f(2)}\text{\textcolor{#FF7968}{ = }}\textcolor{#FF7968}{10} \end{gathered}[/tex]Hence, the function is evaluated for the input value of ( x = 2 ) and the ouput is:
[tex]\textcolor{#FF7968}{10}[/tex]
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