Question

An exponential function has the equation y = (0.5)^x-1. Four points from a different function as shown in the table. For what values of x will two functions be equal?

Answer 1

Answer: f(x) = 64 * (3/4)^x

Step-by-step explanation: f(x)=ab^x

When x=0 f(x) = 64

64 = ab^0

b^0 =1 so

64 =a

f(x)=64 b^x

When x=1 f(x) = 48

48 = 64 *b

Divide by 64

48/64 =b

6/8 =b

3/4 =b

f(x) = 64 * (3/4)^x