Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x

Question

asked Jul 7, 2022 233k views

1 Answer

Galina · Answer 1 · 2022-07-13T10:28:45+0000

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

y = 1 (2)x

2

Explanation: