Question

F(x)=3x+4 Evaluate f(2)=

Answer 1

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:

`f\text{ ( x ) = 3x + 4}`

The above functions isd efined for all the real values. Hence, the domain of the above function is defined as:

`\text{\textcolor{#FF7968}{Domain:}}\text{ x :-> ( -}\infty\text{ , }\infty\text{ )}`

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:

`\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}`

Hence, the function is evaluated for the input value of ( x = 2 ) and the ouput is:

`\textcolor{#FF7968}{10}`