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

Question

Mathematics

Mira Howard

18 March, 18:32

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

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Answers (2)

Know the Answer?

Sandra Grimes · Answer 1

the answer is c ...

Summer Compton · Answer 2

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

Step-by-step explanation:

The domain is the horizontal extent. The function is a polynomial. The domain of any polynomial is "all real numbers".

The range is the vertical extent. The function is an even-degree polynomial with a negative x² coefficient, so it will open downward. That means it has an absolute maximum that restricts its range. Here, that maximum is 4, so the range is ...

... all real numbers less than or equal to 4.