Question

What is the exponential function rule for the following points:

x

f(x)

1

8

2

32

3

128

4

512

f(x) = 2(4)^x
f(x) = 4(2)^x
f(x) = 4(x)^2

Answer 1

The exponential function rule for the given points is f(x) = 2(4)^x.

Step-by-step explanation:

The exponential function rule for the given points is f(x) = 2(4)^x. It can be observed that each y-value is obtained by multiplying the base (4) to the power of the corresponding x-value. For example, when x = 1, f(x) = 2(4)^1 = 2(4) = 8. Similarly, when x = 2, f(x) = 2(4)^2 = 2(16) = 32. This pattern continues for the remaining points.

Answer 2

f(x) = 2(4)^x

Step-by-step explanation: