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i will give Brainiest
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. What is true about the domain and range of the function?

A.The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.

B.The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.

C.The domain is all real numbers, and the range is all real numbers less than or equal to 4.

D.The domain is all real numbers less than or equal to 4, and the range is all real numbers

i will give BrainiestThe graph of the function fx x 3x 1 is shown below What is true about the domain and range of the function AThe domain is all real numbers class=
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Respuesta :

wegnerkolmp2741o

The domain is all real numbers

The range is y<= 4

Choice C

Answer:

The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Step-by-step explanation:

The function is given to be :

f(x) = -(x + 3)(x - 1)

Domain : It is defined as a set of all points for which the function is real and defined.

Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :

Domain : All real numbers

Range : It is defined as a set of all values of dependent variable for which the function is defined.

Now, To find range of the given function :

As seen from the graph, the maximum value of the function is at (-1,4)

So, The range consists of all the values less than or equal to 4

⇒ Range : All real numbers less than or equal to 4

Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

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