The function f (x) = - (x + 5) (x+1) What is the range of the function?

all real numbers less than or equal to 4

all real numbers less than or equal to - 3

all real numbers greater than or equal to 4

all real numbers greater than or equal to - 3

-410-X

All real numbers less than or equal to 4.

Step-by-step explanation:

Rearrange it to vertex form:

- (x + 5) (x+1)

= - (x^2 + 6x + 5)

= - [ (x + 3) ^2 - 9 + 5]

= - (x + 3) * 2 + 4

So the vertex is at f (x) = 4 and its a maximum because the coefficient of x^2 is negative.

So the range is all real numbers less than or equal to 4.