Question

Which function represents g(x), a reflection of f(x) = }

(10)* across the x-axis?
O g(x) = - (10)*
O g(x) = -(0)
O g(x) = (10)
O g(x) = { (10)*

Answer 1

The function that represents g(x), a reflection of f(x) = (10)* across the x-axis, is g(x) = -(10)* as reflection across the x-axis inverts the sign of the function's output values.

Step-by-step explanation:

The question asks which function represents g(x), a reflection of f(x) = (10) * across the x-axis. The reflection of a function across the x-axis is achieved by multiplying the original function by -1. If f(x) is positive for all x, then g(x) = -f(x) will be its reflection across the x-axis. Therefore, the correct response would be g(x) = -(10) *.

In more general terms, reflecting a function across the x-axis changes the sign of the output, y, for each input, x. Hence the reflection of f(x) across the x-axis is given by g(x) = -f(x).