Linear Function Analysis: Is y=4x-2 Rising or Falling?

To determine whether the function $y = 4x - 2$ is increasing or decreasing, we follow these steps:

• Step 1: Identify the type of function we have. The given function is in the form of $y = mx + b$, which is a linear function.

• Step 2: Analyze the coefficient of $x$, known as the slope $m$. In our function, the slope $m$ is 4.

• Step 3: Understand the relationship between the slope and the rate of change. For linear functions, if the slope $m$ is positive, the function is increasing.

Since the slope $m = 4$ is positive, it means that as $x$ increases, $y$ also increases. Consequently, the function is increasing over its entire domain.

Therefore, the function $y = 4x - 2$ is Increasing.