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If a point is on the graph of the exponential equation then it should be true when you solve.


g(x) = (1/5)^x

y = (1/5)^x


1/125 = (1/5)^3

cbrt(1/125) = 1/5

.2 = 1/5

.2 = .2 YES


5 = (1/5)^-1

5 = 5 YES


1/25 = (1/5)^-2

-2root(1/25) = 1/5

5 = 1/5 NO


0 = (1/5)^1

0 = .2 NO


The correct answers are A and B.

This is about understanding input and output of a graph.

Correct Points are;

Option B; (-1, 5) and Option A; (3, 1/125)

  • The graph function is given as; g(x) = (1/5)ˣ

x is the input value which is on the x-axis

g(x) is the output value which is on the y-axis

This will follow a coordinate writing system of (x, y)

  • Option A; (3, 1/125) means that when x = 3, y = 1/125

Let us put 3 for x in the function;

y = (1/5)³

y = 1/125

y = 1/125 corresponds to y = 1/125 and so it is correct.

Option B; (-1, 5) means that when x = -1, y = 5

Let us put -1 for x in the function;

y = (1/5)⁻¹

y = 5

y = 5 corresponds to y = 5 and so it is correct.

  • Option C; (-2, 1/25) means that when x = -2, y = 1/25

Let us put 3 for x in the function;

y = (1/5)⁻²

y = 25

y = 1/25 doesn't correspond to y = 25 and so it is not correct.

  • Option D; (1, 0) means that when x = 1, y = 0

Let us put 1 for x in the function;

y = (1/5)¹

y = 1/5

y = 0 doesn't correspond to y = 1/5 and so it is not correct.

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