Question

The function f(x) = √x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?

A. (-2, 345)
B. (25, 24)
C. (37, 0)
D. (3, 125)

Answer 1

To reflect a function across the y-axis, we replace x with -x. Therefore, to obtain the function g(x) by reflecting the function f(x) = √x, we replace x with -x in the equation. The ordered pair (3, -√3) is on g(x).

Step-by-step explanation:

To reflect a function across the y-axis, we replace x with -x. Therefore, to obtain the function g(x) by reflecting the function f(x) = √x, we replace x with -x in the equation. So, g(x) = √(-x).

Let's test each ordered pair to see which one is on the graph of g(x).

For option A: g(-2) = √-(-2) = √2, which is not one of the ordered pairs.

For option B: g(25) = √-(25) = √-25, which is not one of the ordered pairs.

For option C: g(37) = √-(37) = √-37, which is not one of the ordered pairs.

For option D: g(3) = √-(3) = √-3, which is equal to -√3. Therefore, the ordered pair (3, -√3) is on g(x).