Question

Given the points (3,52488) and (-4,-393216), determine

(a) the linear function ,

(b) the power function ,

for these two points.
( N.B. If you use your calculator immediately without thinking, it will say that there are no solutions, but there are solutions. Find an equivalent equation for one of the equations so that there are no negative values.)

Answer 1

any two points can be joined by a single line. In this case it's

y-52488 = ((-393216-52488)/(-4-3))(x-3)

There are many power functions which can go through any two points.