Question

is the graph of the equation increasing, decreasing, or constant? constant increasing decreasing

Explanation:

Step1: Recall the definitions

A function's graph is increasing if as \( x \) increases (moves to the right along the x - axis), \( y \) also increases (moves up along the y - axis). A graph is decreasing if as \( x \) increases, \( y \) decreases (moves down along the y - axis). A constant graph has \( y \) - values that do not change as \( x \) changes (a horizontal line).

Step2: Analyze the given graph (from the description)

From the graph (the small plot shown), as we move from left to right (as \( x \) increases), the \( y \) - values of the points on the graph are increasing. For example, if we take two points on the line, say \( (x_1,y_1) \) and \( (x_2,y_2) \) where \( x_2>x_1 \), we will have \( y_2 > y_1 \). This matches the definition of an increasing function.

Answer:

B. Increasing (assuming the purple button is option B with text "Increasing")