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Olin [163]
1 year ago
6

Write the absolute value function as a​ piecewise-defined function with linear parts.

Mathematics
1 answer:
KengaRu [80]1 year ago
6 0

The piecewise-defined function with linear parts ​f(x)= |2x + 9|

f(x) = {2x + 9   x ≥ -9/2)

     {-2x - 9   x < 9/2}

<h3>How to write piecewise functions?</h3>

To write this function as a piecewise function, you have to use the definition of absolute value.

The absolute value equation is; ​f(x)= |2x + 9|

The definition says that;

|x| = {x   x ≥ 0)

     {-x   x < 0}

Applying this definition to the function you get:

|2x + 9| = {2x + 9   2x + 9 ≥ 0)

     {-2x - 9   2x + 9 < 0}

After simplifying the inequalities you get:

|2x + 9| = {2x + 9   x ≥ -9/2)

     {-2x - 9   x < 9/2}

So finally you can write the piecewise  function as:

f(x) = {2x + 9   x ≥ -9/2)

     {-2x - 9   x < 9/2}

Read more about piecewise function at; brainly.com/question/18499561

#SPJ1

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What does the beginning of the expression look like? It is (-8)^{2}.

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The squared symbol, the little 2, means you have to square what is *inside* the parentheses. (-8)^{2} = 64, because -8 times itself is 64.

Next comes multiplication. Remember, we are not working from left to right. We must multiply the values on the far right before we do any adding, because multiplication comes *before* addition.

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Plug in what the letter equals to

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