Question

Write an exponential function y=ab^x for a graph that will include that will include (0,4) and (2, 49).

Answer 1

I am not sure how to write equations, and I could really use the help on this.

Answer 2

\(ab^0 = ?\)

Answer 3

\[
\begin{cases}
ab^0 = a & \\
ab^0 = 4 &\text{ as asked}
\end{cases}
\]
therefore \(a=4\). Now you can find \(b\).

Answer 4

4=a b^0 b^0 =1
a=4
49 = 4 b^2
b = (1/2)log(49/4)

Answer 5

Principle log(x^n) = n log(x)