Question

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

y = StartRoot x minus 5 EndRoot + 3
y = StartRoot x + 5 EndRoot minus 3
y = negative StartRoot x minus 5 EndRoot + 3
y = negative StartRoot x + 5 EndRoot minus 3

Answer 1

C on Edge2021

Explanation:

Answer 2

The function that has a domain of 'x' greater-than-or-equal-to 5 and a range of 'y' less-than-or-equal-to 3 is;

`y = -√(x - 5) +3`.

Explanation:

The domain of a function are the possible 'x' values of the function

The range of a function are the possible 'y' values of the function

The given possible functions are;

1)
`y = √(x - 5) +3`

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≥ 3

2)
`y = √(x + 5) -3`

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≥ -3

3)
`y = -√(x - 5) +3`

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≤ 3

4)
`y = -√(x + 5) -3`

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≤ -3

Therefore, the required function is the third function,
`y = -√(x - 5) +3`.