Chapter 11.3, Problem 5E

To determine

To find: Calculate the domain of the function and sketch the graph of the function.

Answer to Problem 5E

The domain of the function is $-\infty <x<\infty$ .

Explanation of Solution

Given information: The function is $f\left(x\right)=3x+5$

To draw a graph of the given function, need to prepare a table of value of in depended variable of x and dependent variable y .

Let, $x=-1,0,\text{ and }1$

  $\begin{array}{cccc}x& -1& 0& 1\\ y& 2& 5& 8\end{array}$

Hence, the graph is

  

From the graph, it is clear that the function is defined for all value of x .

Hence, the domain of the function is $-\infty <x<\infty$ .