Which function has a domain of x> _5 and a range of y< _3?

Option C.

Step-by-step explanation:

The complete question in the attached figure

Remember that

The domain of the function are all possible values for variable x and the range of the function are all possible values for the variable y

Case A) we have

Remember that the discriminant must be greater than or equal to zero

For domain of this function

For range of the function

for every value of x ≥ 0

Case B) we have

Remember that the discriminant must be greater than or equal to zero

For Domain

and for every value of x ≥ (-5) range of the function will be

Case C) we have

Remember that the discriminant must be greater than or equal to zero

For domain

For range

Case D) we have

Remember that the discriminant must be greater than or equal to zero

For domain

For range

y -5 = (-1/4)(x + 8)

step-by-step explanation: