Question

Which function has a domain of x greater than equal to 5 and the range of y less than equal to 3?

A. y = root squared of x-5, +3

B. y = root squared of x+5, -3

C. y = - root squared of x-5, +3

D. y = - root squared of x+5, -3

Answer 1

Option C is the answer.

Explanation:

Option A.
`y=√(x-5)+3`

For domain of this function

(x - 5) ≥ 0

x ≥ 5

For range of the function

for every value of x ≥ 0

y ≥ 3

Opttion B.
`y=√(x+5)-3`

For Domain

(x + 5) ≥ 0

x ≥ (-5)

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

y ≥ (-3)

Option C.

y = -√(x -5) + 3

For domain

x - 5 ≥ 0

x ≥ 5

For range

y ≤ 3

Option D.
`y=-√(x+5)-3`

For domain (x + 5) ≥ 0

x ≥ -5

For range

y ≤ (-3)

Therefore option C will be the answer.