Question

Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) Superscript x
g(x) = 4(one-half) Superscript negative x

Answer 1

The function that represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis, is g(x) = −4(one-half) Superscript x. This function is obtained by negating the exponent of the original function, which reverses the direction of the exponential growth and creates a mirror image of the original function across the x-axis. The other options listed do not correctly reflect the original function across the x-axis.

Explanation: