Question

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

Answer 1

Answer:

d.     The range of the function is all real numbers greater than or equal to -2

Step-by-step explanation:

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Answer 2

Answer:

The range of the function is all real numbers greater than or equal to -2

Step-by-step explanation:

The range are all the values that f(x) can take.

f(x) is equal to:

f(x) = |x − 1| − 2

The absolute value of any number is always greater than or equal to 0. it means that the minimum value that |x − 1| can take is 0.

So, the minimum value that f(x) can take is -2 and it is calculated as:

f(x) =  |x − 1| − 2

f(x) = 0 - 2

f(x) = -2

Therefore, f(x) can just take values greater than or equal to -2.