Question

The table contains some points on the graph of an exponential function.

Based on the table, which function represents the same relationship?

A. Y = 10(4)x B. y = 10(2)x C. y = 40(10)x D. y = 2(40)x

Answer 1

B. y = 10(2)^x

Explanation:

y = ab^x

to find "b" divide the function at x = 3 by the function at x = 2

80 = ab^3

——————

40 = ab^2

This results in

2 = b

to find "a" plug pickany value of x

using x = 2

40 = a(2²)

40 = a(4)

a = 10

With a = 10 and b = 2 the exponential function y = ab^x is

y = 10(2)^x