Question

Determine whether the function given by the table is linear, exponential, or

Answer 1

The table represents the exponential function:

$f(x) = 11^x$

Which function is represented by the table?

Here we have the table:

x    y

-1   1/11

0    1

1     11

2    121

3    1331

Some things that are useful to identify this as an exponential equation are:

For any real number a different than zero:

$a^{-1} = 1/a\\\\a^0 = 1$

$a^1 = a$

With these three things, we conclude that we have an exponential equation, because when we evaluate in x = -1, we have a rational number.

When we evaluate in x = 0 we have 1.

Such that the function is:

$f(x) = 11^x$

Notice that:

$f(-1) = 11^{-1} = 1/11\\\\f(0) = 11^0 = 1\\\\f(1) = 11^1 = 11\\\\f(2) = 11^2 = 11*11 = 121$

And so on.

If you want to learn more about exponential functions:

brainly.com/question/11464095

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