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

the function shown is reflected across the y-axis to create a new function.\nwhich is true about the domain and range of each function?\n○ both the domain and range change.\n○ both the range and domain stay the same.\n○ the domain stays the same, but the range changes.\n○ the range stays the same, but the domain changes.

the function shown is reflected across the y-axis to create a new function.\nwhich is true about the domain and range of each function?\n○ both the domain and range change.\n○ both the range and domain stay the same.\n○ the domain stays the same, but the range changes.\n○ the range stays the same, but the domain changes.

Answer

Explanation:

Step1: Identify original domain

Original graph spans $x \in [-6, 0]$

Step2: Identify original range

Original graph spans $y \in [-5, \infty)$

Step3: Find reflected domain

Reflecting over y-axis flips $x$-values: new domain $x \in [0, 6]$

Step4: Find reflected range

Reflection over y-axis does not change $y$-values: range remains $y \in [-5, \infty)$

Step5: Compare domain/range

Domain changes, range stays identical.

Answer:

The range stays the same, but the domain changes.