The function f(x) = - (x + 5) * (x + 1) shown What is the range of the function ? 10 all real numbers loss than or equal to all roal numbers less than or equal to -3 all real numbers groater or equal to 4 numbors greater than or equal to -6

Given:

The function is:

To find:

The range of the function.

Solution:

We have,

It can be written as:

Add and subtract square of half of coefficient of x, i.e., .

On comparing this equation with , we get

, it means the graph of the function is a downward parabola and the vertex is the point of maxima.

The vertex of the function is (-3,4). So, the value of the function cannot be greater than 4.

Therefore, the range of the function is all real numbers less than or equal to 4.

Note: All options are incorrect.

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