Obo qbodo 100 which best describes the function on the graph? direct variation; k = 1 direct variation; k = 4 inverse variation; k=1 inverse variation; k= 4

Inverse variation k=4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

In this problem

The graph represent a inverse variation

Because

if x increases ----> y decreases

if x decreases ----> y increases

Find the value of k

we have that

For x=2, y=2 -----> see the graph

substitute

The given functions are

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

Option D) is the right answer