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If the domain of a function that is translated down 3 is (0, 4), (-5, 8), (4, -2), what is the range?

A. (0, 1), (-5, 5), (4, -5)

B. (3, 4), (-2, 8), (7, -2)

C. (-3, 4), (-8, 8), (1, -2)

D. (0, 7), (-5, 11), (4, 1)

1 Answer

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Given:

The domain of function that is translated down 3 is (0, 4), (-5, 8), (4, -2).

To find:

The range of the function.

Solution:

If a function is translated 3 units down, then


(x,y)\to (x,y-3)

Using this rule, we get


(0,4)\to (0,4-3)


(0,4)\to (0,1)

Similarly,


(-5,8)\to (-5,5)


(4,-2)\to (4,-5)

The range of the given function is (0, 1), (-5, 5), (4, -5).

Therefore, the correct option is A.

User Prince Arora
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