Question

What equation represents an exponential function that passes through the point (2, 80)?

Answer 1

`f(x) = (4√(5))^(x)`

Explanation:

The exponential function looks like the following:
`f(x) = b^(x)`.

If the function passes through the point (2, 80), then:

`f(x) = b^(x)` →
`80 = b^(2)`

Solving for 'b':

`b = √(80)` →
`b=4√(5)`

Then, the equation of exponential function that passes through the point (2, 80) is:
`f(x) = (4√(5))^(x)`