Chapter 1.5, Problem 40E

To determine

To calculate; the intervals on which the function is increasing, decreasing or constant and using a table of values to verify the function is increasing, decreasing or constant.

Answer to Problem 40E

Solution:

Increasing: $(-\infty ,\infty )$

Explanation of Solution

Making use of the graph to conclude intervals for which function is constant, increasing or decreasing.

  $g(x)=x$

  

The above function is increasing on set of all the real numbers $(-\infty ,\infty )$ .

The table of values is:

  $\begin{array}{cccccc}x& -2& -1& 0& 1& 2\\ f(x)& -2& -1& 0& 1& 2\end{array}$