Question

Find the equation of the exponential function represented by the table below:

2
y
0
0.2
1
0.1
2.
0.05
3 0.025
Answer: Y
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attempt 1 out of 2

Answer 1

Answer: y=0.2 x 2

Explanation:

Answer 2

`y=0.2(0.5)^x` is the answer.

Explanation:

Let the equation of the exponential function is,

`y=a(b)^x`

Two points from the given table which lie on the graph are (0, 0.2) and (1, 0.1)

For a point (0, 0.2),

0.2 =
`a(b)^0`

a = 0.2

For another point (1, 0.1),

0.1 =
`0.2(b)^1`

b =
`(0.1)/(0.2)` = 0.5

Therefore, exponential function defined by the given table is,

`y=0.2(0.5)^x`