Question

Write an exponential function that goes through the point (0,4).

Answer 1

\[y = x ^{2} + 4\]

Answer 2

Wouldn't an exponential function be in the form of y=ab^x? The x should be power?

Answer 3

Oops I meant y=b^x

Answer 4

Oh, I see what you mean:
\[y = a(b)^{x}\]
In that case:
\[f(0) = 4 = a(b)^{0}\]
\[4 = a(1)\]
\[a = 4\]
So no we get:
\[f(x) = 4(b)^{x}\]
And 'b' can be anything you like, it doesn't really matter in this case because when it's exponentiated to 0, we always get 1.

Answer 5

Correction: *now

Answer 6

Oh, I understand now. Thank you very much!