Asked by Tesla
The function shown is reflected across the y-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 range stays the same, but the domain changes.
Reason: reflecting f across the y-axis gives g(x)=f(−x). The domain of g is {−x : x in domain(f)} (so it will change unless the original domain is symmetric about 0), while the range of g equals {f(u): u in domain(f)} = range(f).
Reason: reflecting f across the y-axis gives g(x)=f(−x). The domain of g is {−x : x in domain(f)} (so it will change unless the original domain is symmetric about 0), while the range of g equals {f(u): u in domain(f)} = range(f).
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