Tammykivelidn
Answered

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what is the range of the function f (x)= -1/3 lx-1l-2?​

Sagot :

Pipsqeak1idn

Answer:

All real values less than or equal to -2 or (infinity, -2].

Step-by-step explanation:

The range of the function is the range of what the output can be. Let’s analyze the equation in parts.

Notice that |x-1| must always be greater than or equal to 0, so we know that 1/3|x-1| also must always be greater than or equal to 1/3*0 = 0.

With the negative, however, -1/3|x-1| must be less than or equal to -1/3*0 = 0.

Finally, we take the -2 into account. -1/3|x-1| - 2 must always be less than or equal to 0-2 = -2.

Therefore, the range is all real values less than or equal to -2, which can be written as (infinity, -2].

I hope this helps!

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