Question

he graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). 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.+

Answer 1

What is true about the domain and range of the function is; The domain is all real numbers, and the range is all real numbers less than or equal to 4.

How to find the domain of a graph function?

Let us first find the roots of the function f(x):

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

(x - 3) = 0

x = 3

and (x + 1) = 0

x = -1

Therefore, the roots of the function are x = 3 and x = -1.

Now, the vertex is between the roots (x = 1) and has a negative value of y (y = -4), therefore, we can say that the concavity of the parabola is upwards.

This means that the graph is decreasing until it reaches the vertex, then the graph is increasing.

Therefore, we can conclude that the graph is positive and decreasing for all real values of x where x < -1.

Read more about domain of graph function at; brainly.com/question/15227113

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