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Please help

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?

A.Both the domain and range change.
B.Both the range and domain stay the same.
C.The domain stays the same, but the range changes.
D.The range stays the same, but the domain changes​

User Anarchy
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1 Answer

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Answer: D. The range stays the same, but the domain changes.

Explanation: A function can be reflected over or across an axis. When the function is reflected in the y-axis, it means:

g(x) = f(-x)

i.e, the x-values are opposite to the original function.

In the image below, when we reflected the function across the y-axis, the new one will be drawn at the positive x-axis but still at the negative y-axis as shown in red at the second attachment.

Domain of a function is all the values x can assume. Range of a function is all the results the variable y assume.

According to the new graph, y-values didn't change, so Range stays the same. However, x-values changed their signal. Therefore, domain changes.

Please help The function shown is reflected across the y-axis to create a new function-example-1
Please help The function shown is reflected across the y-axis to create a new function-example-2
User Adam Kennedy
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