Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
exponential function : y = a(b)^x
where a = y intercept and b = factor ( number you are multiplying by )
according the the graph the y intercept is a 1 so a = 1
we now have y = 1(b)^x
to find the factor you plug in one of the ordered pairs into y = 1(b)^x
the ordered pair you use will not effect the outcome, i have chose (2,9)
y = 1(b)^x
(x,y) = (2,9) so x = 2 and y = 9
9 = 1(b)^2
divide both sides by 1
9 = (b)^2
take the square root of both sides
3 = b
the final equation is y = 1(3)^x or just y = 3^x
