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Ymorist [56]
1 year ago
15

What is the range of the function f(x) = |x + 4| + 2?

Mathematics
1 answer:
storchak [24]1 year ago
4 0

\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

<h3>Given:</h3>

▪ \longrightarrow \sf{f(x) = |x + 4| + 2}

You need to remember that the form of an Absolute Value Function is:

•<em> </em><em>For the vertex:</em>

\small\longrightarrow \sf{H= \:  \: x -coordinate}

\small\longrightarrow \sf{K= y-coordinate}

• <em>For the</em> definition:

If "a" is positive (+) , then the range of the function is:

\small\longrightarrow \sf{R:y \:   \underline >  \:  k}

If "a" is negative (-), the range of the function is:

\small\longrightarrow \sf{R: y  \: \underline  <  \: k}

In this case we can identify that:

\small\longrightarrow \sf{a = 1}

\small\longrightarrow\sf{a = 2}

\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}

\large \bm{R: {f(x)  \in ℝ | f(x)   \underline >   2}}

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