Question

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

Answer 1

Answer:

Step-by-step explanation:

we have

we know that

The rule of the reflection across the x-axis is

(x,f(x)) ------> (x,-f(x))

therefore

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem

Answer 2

Answer:

$g(x)=-4(\frac{1}{2})^{x}$

Step-by-step explanation:

we have

$f(x)=4(\frac{1}{2})^{x}$

we know that

The rule of the reflection across the x-axis is

(x,f(x)) ------> (x,-f(x))

therefore

$g(x)=-f(x)$

$g(x)=-4(\frac{1}{2})^{x}$

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem