Q45. - Algebra 2

Question

Graph each function. Identify the domain and range

$45. g\left(x\right)=\left|x\right|+4$

Step-by-Step Solution

Answer

The graph of the function is as shown,.

The domain of the function is all real numbers or $\left(-\infty ,\infty \right)$

The range of the function is,

$f\left(x\right)=\left|x\right|+4 is \left\{y |y\ge 4\right.$

Step-1 – Solve for many ordered pair of function

$\begin{array}{cc}x& \left|x\right|+4\\ -2& 6\\ -1& 5\\ 0& 4\\ 1& 5\\ 2& 6\end{array}$

Step-2 – Solving the function for domain

The domain of the function is all real numbers.

Step-3 – solve to function for range

The range of the function as per ordered pair is,

$f\left(x\right)=\left|x\right|+4 is \left\{y |y\ge 4\right.$

Step-4 – Plot the graph

Hence, the graph of the function is as shown.