Analyzing Linear Graph: Identifying Decreasing Function Behavior
Question
Is the function in the graph decreasing?
Step-by-Step Solution
To analyze whether the function in the graph is decreasing, we must understand how the function's behavior is defined by its graph:
Step 1: Examine the graph. The graph presented is a horizontal line.
Step 2: Recognize the properties of a horizontal line. Horizontally aligned lines correspond to constant functions because the y-value remains the same for all x-values.
Step 3: Define the criteria for a function to be decreasing. A function decreases when, as x increases, the value of f(x) decreases.
Step 4: Apply this criterion to the horizontal line. Since the y-value is constant and does not decrease as x moves rightward, the function is not decreasing.
Therefore, the function represented by the graph is not decreasing.