Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x (input).
There are no restrictions on x.
The domain is all real numbers.
The range is the set of possible values for y (output).
Let x = 0.
[tex]F(0)=5-(0)^2[/tex]
[tex]F(0)=5[/tex]
The maximum value of y is 5.
Let x = 50
[tex]F(50)=5-(50)^2[/tex]
[tex]F(50)=5-2500[/tex]
[tex]F(50)=-2495[/tex]
The minimun value of y is [tex]- \infty[/tex] from observation.
The values of x can be a negative number.
[tex]F(-5)=5-(-5)^2[/tex]
[tex]F(-5)=5-25[/tex]
[tex]F(-5)=-20[/tex]
The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].
