Answer:
function is [tex]y = 3 (6^{x})[/tex]
Step-by-step explanation:
The general form for an exponential function is [tex]y = kb^{x}[/tex]. We need to find both k and b
(0, 3) is a point on the graph. So, let's substitute 0 in for x and 3 in for y
[tex]3 = k b^{0} = k(1) = k[/tex]
Now we know that k = 3
(1, 18) is a point on the graph. So, let's substitute 1 in for x, 18 in for y and 3 in for k
[tex]18 = 3 b^{1} = 3b\\6 = b[/tex]
Now we know that b = 6
Therefore, the function is [tex]y = 3 (6^{x})[/tex]
That's not too bad, isn't it?
