the function shown is reflected across the y - axis to create a new function. which is true about the domain…

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.

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.

Answer

Explanation:

Step1: Recall domain - range concept

Domain is set of x - values, range is set of y - values.

Step2: Analyze y - axis reflection

When a function (y = f(x)) is reflected across the y - axis to get (y=f(-x)), the x - values change sign. But the set of all possible x - values (domain) and all possible y - values (range) remain the same in terms of the set of numbers they represent. For any x in the original domain, - x is in the new domain. And the set of output y - values doesn't change.

Answer:

Both the range and domain stay the same.