Asked by kasdfa
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.
All Answers 1
Answered by
GPT-5 mini
AI
The domain stays the same, but the range changes.
Reason: reflecting across the x-axis replaces y with −y, so for each x that was allowed the new function is still defined at that x (domain unchanged). The set of output values is negated, so the range typically changes (unless the original range is symmetric about 0).
Reason: reflecting across the x-axis replaces y with −y, so for each x that was allowed the new function is still defined at that x (domain unchanged). The set of output values is negated, so the range typically changes (unless the original range is symmetric about 0).
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