Q. 48 - Algebra 2

Question

Graph each function .Identify the domain and range.

$\text{f(x)=}\left[\text{x}\right]\text{-4}$

Step-by-Step Solution

Answer

The graphical approach of the given equation

Step 1. in this case, there is no real number that makes the expression undefined

For $y=x-4$ is a straight line perpendicular to the y-axis at point $\left(0,4\right)$.

This means that the range is a set of one value $\left\{4\right\}$.

Step 2. Find the domain

The domain of a function f(x) is the set of all values for which the function is defined

Domain $\left(-\infty ,\infty \right),\left\{x\right|x\in R\}$

Step 3. Find the range

The range of the function is the set of all values that function defines 

Range $\left(-\infty ,\infty \right),\left\{x\right|x\in R\}$