Question

HELP POINTS

Answer 1

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.

Answer 2

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.