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:

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;

[tex]y = -\sqrt{x - 5} +3[/tex].

Step-by-step 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) [tex]y = \sqrt{x - 5} +3[/tex]

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≥ 3

2) [tex]y = \sqrt{x + 5} -3[/tex]

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≥ -3

3) [tex]y = -\sqrt{x - 5} +3[/tex]

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≤ 3

4) [tex]y = -\sqrt{x + 5} -3[/tex]

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≤ -3

Therefore, the required function is the third function, [tex]y = -\sqrt{x - 5} +3[/tex].

Answer:

C on Edge2021

Step-by-step explanation:

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