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

B.   y = 10(2)^x

Step-by-step 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 = a2²

40 = a4

a = 10

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

y = 10(2)^x

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d