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Question

asked Aug 27, 2022 176k views

1 Answer

Zara Kolagar · Answer 1 · 2022-09-02T21:28:45+0000

Answer:

$D.\ (3,(1)/(8))$

Explanation:

Given

y = ((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:

$D.\ (3,(1)/(8))$

This means that:

$x = 3;\ y = (1)/(8)$

Substitute
$x = 3;\ y = (1)/(8)$ in
y = ((1)/(2))^x

(1)/(8) = ((1)/(2))^3

(1)/(8) = (1^3)/(2^3)

(1)/(8) = (1)/(8)

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

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