Question

A table of data is given.

Answer 1

The exponential equation will be y = 10 (0.1)ˣ.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table of data is given.

x         f(x)

-2        128

-1          27

0          5

1            1

2         0.1

Then the equation will be

f(x) = abˣ

At x = 1, the value of f(x) is 1.

1 = ab ...1

At x = 2, the value of f(x) is 0.1.

0.1 = ab² ...2

Then from equations 1 and 2, we have

0.1 = b

Then the value of a will be

a = 1 / 0.1

a = 10

Then the exponential equation will be

y = 10 (0.1)ˣ

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1