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.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it