Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Sagot :

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!