Question

The function graphed is reflected across the x-axis to create a new function.

Which is true about the domain and range of each function?

Both the domain and range change.
Both the range and domain stay the same.
The domain stays the same, but the range changes.
The range stays the same, but the domain changes.

Answer 1

c

Explanation:

Answer 2

Option (3)

Explanation:

Since domain of a function graphed is defined by the x-values and range by y-values.

When a function is reflected across x-axis rule to be followed,

(x, y) → (x, -y)

That means y-coordinates of all the ordered pairs given on the graph will get changed after the reflection across x-axis.

But x-values will remain same.

Therefore, domain of the function will stay the same and range will change.

Option (3) will be the answer.