Question

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Which statement about the function is true?

The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9.

Answer 1

`f(x)=-x^2-4x+5`

The domain:

`x\in\mathbb{R}` all real numbers

The range:

`y\leq9\to y\in(-\infty;\ 9]` all real numbers less than or equal to 9.

Answer:
The range of the function is all real numbers less than or equal to 9.

Answer 2

The range of the function is all real numbers less than or equal to 9.

Explanation:

Given : The function f(x) = –x2 – 4x + 5 is shown on the graph.

To find : Which statement about the function is true.

Solution : We have given that f(x) = –x² – 4x + 5 .

Domain : domain are the set of input values on which the function is defined or real.

F(x) is not undefined for any value.

Then , (-∞ , ∞)

Range : range is the set of values dependents variable on which function is defined.(-∞ ,0]

Therefore, The range of the function is all real numbers less than or equal to 9.