WeBWorK Standalone Renderer

Consider the function $f(x)$ given by

graph of a piecewise continuous function that starts at (-5,3), extends linearly to (-4,0), stays at 0 until x=1, extends linearly to (3,6) and then has an upward-opening parabolic section that passes through (4,4) and extends to (5,3).

For each of the following, sketch a graph of the new function and use your graph to fill in the $y$ -values in the tables. Assume that the function $f(x)$ is only defined on $-5\le x\le 5$ ; for any undetermined values in the new functions, enter dne.

(a) $y = f(x)+3$

$x =$	-4	-2	0	2	4
$y =$

(b) $y=3 f(x)$

$x =$	-4	-2	0	2	4
$y =$

(c) $y=f(x + 2)$

$x =$	-4	-2	0	2	4
$y =$

(d) $y=2 - f(x)$

$x =$	-4	-2	0	2	4
$y =$

You can earn partial credit on this problem.