Answer:
y = [tex]3*2^{x}[/tex]
Step-by-step explanation:
The general form for an exponential function is :
y = [tex]ab^{x}[/tex]
We need to find out what a and b are using the values given in the graph.
we can see that (x=0, y = 3) and (x=1, y = 6) are points on the curve. Substitute these into the general equation
for (x=0, y = 3),
3 = [tex]ab^{0}[/tex]
3 = a (1) or a = 3
for (x=1, y = 6),
6 = [tex]ab^{1}[/tex]
6 = ab (substitute a=3 from previous calculation)
6 = 3b
b = 2
Hence the equation is:
y = [tex]3*2^{x}[/tex]
Edit reason: typo in the final answer
