Question

A function f(x) has range {yer 1-50}. Explain why reflecting the function vertically would not affect the range

Answer 1

For the reflection property, we have;

For reflection vertically, which is equivalent to reflection across the y-axis, we have;

Let the location or point of the pre-image before, reflection be (x, y), then, the location or point of the image after reflection will be (-x, y)

Therefore, the y-coordinates remains the same

Given that the range of the function is the value of f(x) or y from 1 - 50, which are the y-coordinate values of the function, it will not be affected by the vertical reflection of the function.

Explanation: