Answer:
The range is all real numbers less than or equal to 4
Explanation:
we have
![f(x)=-(x+5)(x+1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lgz2am3q5rygnxct123b2up8wtwa0ww25m.png)
This is a vertical parabola open downward
The vertex is a minimum
The vertex is the the point (-3,4)
The x-intercepts are x=-5, x=-1
The domain is the interval -----> (-∞,∞)
The domain is all real numbers
The range is the interval ----> (-∞, 4]
The maximum value of the range is the y-coordinate of the vertex
![y\leq 4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mmuw7gjiy4iurm0j24qrt4x0nelkzyd3x0.png)
The range is all real numbers less than or equal to 4