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What is the range of the function f(x) = |x − 1| − 2?all real numbersall real numbers less than or equal to −2all real numbers less than or equal to 1all real numbers greater than or equal to −2?

Respuesta :

sqdancefan
The minimum value of the function is -2, so the range is
.. all real numbers greater than or equal to -2 . . . . the last selection
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calculista

Answer:

All real numbers greater than or equal to [tex]-2[/tex]

Step-by-step explanation:

we have

[tex]f\left(x\right)=\left|x-1\right|-2[/tex]

using a graphing tool

The vertex of the function is the point [tex](1,-2)[/tex]

The vertex is a minimum

see the attached figure

so

The range of the function is the interval [tex][-2,infinite)[/tex]

All real numbers greater than or equal to [tex]-2[/tex]

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