Write the equation of the exponential function given a growth factor of 4

Question

The Y intercept crosses at (0,5)

Answer 1

The growth function is defined as:

y = ae^4x

Since the function crosses (0, 5) we can substitute these values into the equation and solve for a.

5 = ae⁴⁽⁰⁾

5 = a(1)

a = 5

So we can write the equation as:

y = 5e^4x