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Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.

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tynollette tynollette · Answer 1 · 2018-02-07T00:21:09+01:00

The parent function and this function have the same domain.

The range of the function is all real numbers less than or equal to –2.

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aquialaska aquialaska · Answer 2 · 2019-07-04T08:51:33+02:00

Answer:

3rd and 4th Option are True.

Step-by-step explanation:

Given Function:

f(x) = -| x | - 2

To find: True Statement from given statements.

Here, Parent Function is g(x) = | x |

g(x) opens in upward direction and f(x) opens in downward direction.

Domain of the function g(x) = Set of real number.

Range of the function g(x) = Set of non negative real numbers that is { x : x ∈ R and x ≥ 0 }

Domain of the function f(x) = Set of Real Number.

Range of the function f(x) = { x : x ∈ R and x ≤ -2 }

From above, we have

The parent function and this function have the same domain.

The range of the function is all real numbers less than or equal to –2.

Therefore, 3rd and 4th Option are True.