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What is the range of the graph for y = |x-2] + 3

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it is easier to see this in the graph

So we can give values to X and look the graph


\begin{gathered} x=-2\longrightarrow\text{ y=7} \\ x=-1\longrightarrow y=6 \\ x=0\longrightarrow y=5 \\ x=1\longrightarrow y=4 \\ x=2\longrightarrow y=3 \\ x=3\longrightarrow y=4 \end{gathered}

the graph is something like this

and the range is all the values ​​it can take in Y

From the graph we observe that values ​​less than 3 will not be taken because the function is a absolute value

And it will only take values ​​greater than 3

So the range is:


\lbrack3,\infty)

What is the range of the graph for y = |x-2] + 3-example-1
User Manghud
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