Use the equation of the exponential function whose graph passes through the points (0,2) and (2,50) to find the value of y when x = 2.
I know the formula is y=ab^x but I don't know what numbers to plug in.
Any help would be great.
Thanks.
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1 answer

first sub in (0,2) to get
2 = ab^0, but b^0 = 1
so a=2
so far we have
y = 2b^x
now use the other point (2,50)
50 = 2(b^2)
b^2 = 25
b= ±5
however in exponentional equations the base is usually positve, so now you have
y = 2(5^x)
sub in x=2 and you got it. 👍
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