Chapter 3.7, Problem 34PPS

To determine

To graph: the given function.

Explanation of Solution

Given information:

The function $f(x)=\{\begin{array}{l}2x-1;x<2\\ -[[x]];x>2\end{array}$

Concept used:

The greatest integer function produces the greatest integer less than or equal to the

Number.

Calculation:

Consider $f(x)=\{\begin{array}{l}2x-1;x<2\\ -[[x]];x>2\end{array}$

Make a table of values for $f(x)$

$x$	$-1$	$0$	$0$	$1.5$	$1.5$	$2.5$	$3$	$3.5$	$4$
$g(x)$	$-3$	$-1$	$0$	$2$	$2$	$-2$	$-3$	$-3$	$-4$

Graph:

The graph of $g(x)=-2[[x]]$ is shown below.