Which best describes the behavior of the function
f(x)=2/3x-2?

A) It is a constant.
B) It is increasing.
C) It is decreasing.
D) It is both increasing and decreasing.

Respuesta :

Answer:

Step-by-step explanation:

B)  it is increasing,  the slope  of  2/3  tells you it's going up  

Using concepts of linear functions, it is found that the correct option is given by:

B) It is increasing.

--------------------

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, being the value that describes its behavior.

  • If m = 0, the function is constant.
  • If m > 0, the function is increasing.
  • If m < 0, the function is decreasing.

--------------------

In this question, the equation of the line is:

[tex]f(x) = \frac{2}{3}x - 2[/tex]

The slope is [tex]m = \frac{2}{3}[/tex], which is positive, thus the function is increasing, and the correct option is B.

A similar problem is given at https://brainly.com/question/10026522