Mathematics: Consider the function f(x)= 1-|x-1|+|x+1| for -3 x 3. recall that the absolute function can be represented as a piece wise function: use this to express f(x) as a piece wise function. hence graph.

Consider the function f(x)= 1-|x-1|+|x+1| for -3

Ответ:

nails4life324

17.01.2022

By the definition for the absolute value,

$|x-1|=\begin{cases}x-1&\text{for }x\ge1\\-(x-1)&\text{for }x$
$|x+1|=\begin{cases}x+1&\text{for }x\ge-1\\-(x+1)&\text{for }x$

So for the compound function f(x)=1-|x-1|+|x+1|

, there are three intervals to consider. What happens when

? when $-1\le x$ ? when $x\ge1$ ?

You have

$f(x)=\begin{cases}1-(-(x-1))+(-(x+1))=-1&\text{for }x$

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Ответ:

poppy1173

23.06.2022

Mathematics

called nuclear fusion

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Consider the function f(x)= 1-|x-1|+|x+1| for -3< x< 3. recall that the absolute function can be represented as a piece wise function: use this to express f(x) as a piece wise function.
hence graph.

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Consider the function f(x)= 1-|x-1|+|x+1| for -3< x< 3. recall that the absolute function can be represented as a piece wise function: use this to express f(x) as a piece wise function. hence graph.

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Consider the function f(x)= 1-|x-1|+|x+1| for -3< x< 3. recall that the absolute function can be represented as a piece wise function: use this to express f(x) as a piece wise function.
hence graph.