Question

Draw the graph of the following :
y = l x-1 l + l x + 3 l

Answer 1

Answer:

Step-by-step explanation:

$y=|x-1|+|x+3|$

From, the above equation we see that from $(-\alpha ,-3]$ the whole equation becomes negative.

so,

$-(x-1)-(x+3)$

$=-2x-2$

clearly the slope of the above equation is negative. you can see it in the graph.

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From the range $[-3,1]$ we see,

$|x-1|$ is negative while,$|x+3|$ is positive.

so, on further simplification,

$-|x-1|+|x+3|$

$=-x+1+x+3$

$=4$

clearly a constant graph from the range$[-3,1]$.

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Range:  $[1,\alpha )$

clearly the entire value of y is positive,

$x-1+x+3$

$=2x-2$

$2(x-1)$

clearly the slope is positive.

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so a graph of unique shape is acquired.....

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___hope it helped !!!____

Answer 2

Answer:

I HOPE IT'S HELP YOU

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