Question

If the graph is reflected over the x-axis, what is the domain of
the function?

Answer 1

This transformation doesn't represents a change on its domain

Explanation:

When we reflect a function over the x-axis, that means y-values will change to the opposite, for example, if 4, 5, and 6 are y-values, they will change to -4, -5, -6, and viceversa.

Now, this transformation doesn't represents a change on its domain, because there will be the same elements of such set. In other words, the reflection accross the x-axis just affect the range of the function.

Actually, with this x-axis reflection, the range becomes negative but the domain remains the same.

Answer 2

Domain will remain unaffected.

Explanation:

When the graph of a function is reflected over x-axis ,

Only the value of the function becomes negative of the initial value at the same value of x.

For ex. if (4,1) is a point on the graph of a function , then after reflection (4,-1) will be there .

So, no effect is there on x.

Functions remains defined where it was defined earlier (As only value of function becomes negative at those points) .

So,

Domain will remain unaffected.