Question

dm#5 - increase/decrease & positive/negative

answer
○ it is positive and increasing
○ it is positive and decreasing
○ it is negative and increasing
○ it is negative and decreasing

Explanation:

To solve this, we analyze the graph's position (positive/negative) and slope (increasing/decreasing):

1. Position (Positive/Negative): A function is negative when its graph is below the \( x \)-axis. From the labels (e.g., \( b, f, h \) are minima below the axis), the relevant segment is below the \( x \)-axis, so the function is negative.
2. Slope (Increasing/Decreasing): A function is increasing when its slope (derivative) is positive (graph rises from left to right). For the negative segment, check the direction: if moving left to right, the graph goes from a lower point (more negative) to a higher point (less negative), so it is rising (increasing).

Answer:

It is negative and increasing