The function graphed is reflected across the x-axis to create a new function. Which is true about the

5 answers
Question:

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.

Answers

Domain stays the same while the range changes

Step-by-step explanation:

While reflecting cross x-axis, the x coordinates remains the same while the y-coordinate changes to its opposite.

=> x- coordinate = Domain

=> y-coordinate = Range

The domain stays the same, but the range changes.

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes to its opposite.

⇒ The x-coordinates of the points are the domain.

⇒ The y-coordinates make up the range.

The x-coordinate or the domain remains the same.

The y-coordinate or the range changes.

Option (3)

Step-by-step explanation:

Since domain of a function graphed is defined by the x-values and range by y-values.

When a function is reflected across x-axis rule to be followed,

(x, y) → (x, -y)

That means y-coordinates of all the ordered pairs given on the graph will get changed after the reflection across x-axis.

But x-values will remain same.

Therefore, domain of the function will stay the same and range will change.

Option (3) will be the answer.

the correct answer is:

the domain stays the same, but the range changes.

explanation:

by reflecting a function across the x-axis, the y-values change.   this is because a reflection through the x-axis negates the y-values, making them the opposite of what they were.

the x-values, however, stay the same.   this means the domain, the x, stays the same, while the range, the y, changes.

The domain stays the same, but the range changes.

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