This table shows the input and output values for an exponential function f(x) . what is the ratio of outputs for any two inputs that are one value apart? 4 12 18 2 x −3 −2 −1 0 1 2 3 f(x) 1256 164 116 14 1 4 16

The correct option is 1.

Step-by-step explanation:

From the given table it is noticed that the points on the function are

The general exponential function is defined as

Where a is initial value and b is growth factor.

The function passing through the point  . It means the initial value is 1/4.

The function passing through the point (1,1). It means the function must be satisfied by the point (1,1).

Multiply both sides by 4.

The required function is

Put x=1,

Put x=1,

The ratio of outputs for any two inputs that are one value apart is

Therefore the ratio of outputs for any two inputs that are one value apart is 4. Option 1 is correct.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: