Question

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

Answer 1

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.