If the points
all lie on a curve of the form
what are the values of a and C?
First we note that we are not discussing a "best-fit" curve, so we should be able to take a value of x, plug it into the function, and get the corresponding value of y from the table.
Since there are 4 points in the table, we have enough information to find a and c.
When x = 0, y = 2. Therefore,
Simplify to get c = 2, so we're halfway done.
When x = 1, y = 5, so plug these values into the function:
Simplify to get a = 3. Thus the equation is
We may test that this is correct by checking other values from the table.
So the solution checks out.