Question

HELP I NEED HELP ASAP

Answer 1

Answer:

$D.\ (3,\frac{1}{8})$

Step-by-step explanation:

Given

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

Required

Points that lies on the above graph

From the given options, only option D lies on the point and the proof is as follows:

$D.\ (3,\frac{1}{8})$

This means that:

$x = 3;\ y = \frac{1}{8}$

Substitute $x = 3;\ y = \frac{1}{8}$ in $y = (\frac{1}{2})^x$

$\frac{1}{8} = (\frac{1}{2})^3$

$\frac{1}{8} = \frac{1^3}{2^3}$

$\frac{1}{8} = \frac{1}{8}$

See that the values at the right and left hand side of the equation are the same.

This means that, $D.\ (3,\frac{1}{8})$ lies on $y = (\frac{1}{2})^x$