Write an exponential function of the form y=ab^x whose graph passes through the given points. (0,6),(5,1458)

Question

Write an exponential function of the form y=ab^x whose graph passes through the given points. (0,6),(5,1458)

Answer 1

Since (0,6) is on the graph of y = a(b^x), 6 = a(b⁰). So, a = 6.

y = 6b^x

Since (5, 1458) is on the graph, 1458 = 6b⁵.

b⁵ = 243. So, b = 3.

The function is y = 6(3)^x.