The table represents the exponential function:
[tex]f(x) = 11^x[/tex]
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:
[tex]a^{-1} = 1/a\\\\a^0 = 1[/tex]
[tex]a^1 = a[/tex]
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:
[tex]f(x) = 11^x[/tex]
Notice that:
[tex]f(-1) = 11^{-1} = 1/11\\\\f(0) = 11^0 = 1\\\\f(1) = 11^1 = 11\\\\f(2) = 11^2 = 11*11 = 121[/tex]
And so on.
If you want to learn more about exponential functions:
https://brainly.com/question/11464095
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