Question

Write an exponential function that goes through points (0,2) and (6,8192)

Answer 1

y = 1365x + 2

Explanation:

The function is y = mx + b

2 points are (0,2) (6, 8192)

We see the y increase by 8190 and the x increase by 6, so the slope is

m = 8190/6 = 2730/2 = 1365

y-intercept is located at (0,2)

So, the equation is

y = 1365x + 2