QuestionFind the domain and range of the function $f(x) = -14$ .

Studdy Solution

STEP 1

Assumptions1. The function given is $f(x)=-14$ . We are asked to find the domain and range of this function

STEP 2

The domain of a function is the set of all possible input values (commonly known as x-values) which will produce a valid output from a particular function.For the function $f(x)=-14$ , the value of $f(x)$ does not depend on $x$ . This means that we can plug in any real number for $x$ and the function will still be valid. Therefore, the domain is all real numbers.
$Domain = \text{All real numbers}$

STEP 3

The range of a function is the set of all possible output values (commonly known as y-values), which are the results of the function.For the function $f(x)=-14$ , no matter what value we plug in for $x$ , the output is always $-14$ . Therefore, the range is $\{-14\}$ .
$Range = \{-14\}$ The domain and range of $f(x)=-14$ are all real numbers and $\{-14\}$ , respectively.

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