Question

Choose the appropriate description for the type of change this expression will have as x increases from 1/3 .

A. Will increase with linear change.
B. will increase with non-linear change.
C. Will decrease with linear change.
D. Will decrease with non-linear change.​

Answer 1

Without the specific expression, it is not possible to determine its behavior as x increases from 1/3. Generally, with a constant rate of change, the expression would change linearly, while a change in the rate of change would lead to a non-linear relationship.

Step-by-step explanation:

To determine whether the expression will increase or decrease and whether it will change in a linear or non-linear manner as x increases from 1/3, we would need the specific expression in question. Unfortunately, without the actual mathematical expression, we cannot accurately assess its behavior.

However, we can explain the general concepts. If the expression has a constant rate of change with respect to x, it will exhibit a linear behavior. This means in a graph of the expression against x, you would have a straight line. If the rate of change itself changes as x increases, then the change is non-linear, which could form various types of curves such as parabolas or exponential curves.

-Linear increase: y = mx + b (m > 0).

-Non-linear increase: y = ax^2 (a > 0).

-Linear decrease: y = mx + b (m < 0).

-Non-linear decrease: y = -ax^2(a > 0).