Chapter 3.8, Problem 35PPS

a)

To determine

To make: a table of values for given function.

Explanation of Solution

Given information:

The function $f(x)=|2x+3|$

Consider the function 1y1y3 $f(x)=|2x+3|=\{\begin{array}{l}-(2x+3);x<-3/2\\ (2x+3;x\ge -3/2\end{array}$

Make a table of values for $f(x)=|2x+3|$

$x$	$-5$	$-4$	$-3$	$-2$	$-1.5$	$0$	$1$	$2$	$3$	$4$	$5$
$g(x)$	$7$	$5$	$3$	$1$	$0$	$3$	$5$	$7$	$9$	$11$	$13$

Hence,

The table of values are constructed for given function.

b)

To determine

To plot: the points on a coordinate grid of the given function.

Explanation of Solution

Given information:

The function $f(x)=|2x+3|$

The plot of the points of the function $f(x)=|2x+3|$ is shown below..

c)

To determine

To graph: the given function.

Explanation of Solution

Given information:

The function $f(x)=|2x+3|$

Graph the function $f(x)=|2x+3|$.

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