SOLUTION: How do you write (0,0.5) (1,3) as an exponential function?

Question 258412: How do you write (0,0.5) (1,3) as an exponential function?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Exponential functions have equations in the following form:

(Your book/teacher may use letters other than k and a but the basic form should be the same.)
With the two ordered pairs we have two sets of x and y values that should fit the equation:
and
We can use this system to solve for k and a. The first equation, since anything but zero to the zero power is a 1, simplifies to:

Already we have the k for our function. Now we can use this value for k and the second equation to find a:

Since :

Multiplying both sides by 2 we get:

With k = 0.5 and a = 6 our exponential function is:

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