Question

What function represents a reflection f(x)=3/7(2)^x over the x-axis

Answer 1

The given function is
f(x) = (3/7) 2^x
And it is to be reflected over the x-axis. This means that the function will have an opposite sign or -f(x). The resulting function after the reflections is
-f(x) = -(3/7) 2^x

Answer 2

Answer:

Given the function:

$y=f(x)= \frac{3}{7}(2)^x$

The rule of reflection across the x-axis is given by:

$(x, y) \rightarrow (x, -y)$

Apply the reflection over the x-axis on the given function we have;

$-y = \frac{3}{7}(2)^x$

Multiply both sides by -1 we get;

$y=-\frac{3}{7}(2)^x$

or

$f(x)=-\frac{3}{7}(2)^x$

Therefore, function represents a reflection f(x)=3/7(2)^x over the x-axis is, $-\frac{3}{7}(2)^x$