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sveticcg [70]
3 years ago
10

If the domain of a function that is reflected over the x-axis is (1, 5), (2, 1), (-1, -7), what is the range?

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0

Answer:

A. (1, -5), (2, -1), (-1, 7)

Step-by-step explanation:

Reflecting a function over the x-axis:

When a function is reflected over the x-axis, the x-value stays the same, while y changes the signal, so the transformation rule is:

(x,y) \rightarrow (x,-y)

To find the range:

We apply the transformation to the points in the domain. Thus:

(1,5) \rightarrow (1,-5)

(2,1) \rightarrow (2,-1)

(-1,-7) \rightarrow (-1,-(-7)) = (-1, 7)

Thus the correct answer is given by option a.

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