Questions: Use the graph of the function to estimate the intervals on which the function is increasing or decreasing.
Transcript text: Use the graph of the function to estimate the intervals on which the function is increasing or decreasing.
Solution
Solution Steps
Step 1: Identify the intervals of the graph
Examine the graph to determine where the function is increasing and where it is decreasing. The function appears to have a V-shape, with a vertex at the point (0, -10).
Step 2: Determine the increasing interval
The function is increasing on the interval where the graph moves upwards. This occurs from the vertex at (0, -10) to the right. Therefore, the increasing interval is from \( x = 0 \) to \( x = 10 \).
Step 3: Determine the decreasing interval
The function is decreasing on the interval where the graph moves downwards. This occurs from the leftmost point at \( x = -10 \) to the vertex at \( x = 0 \). Therefore, the decreasing interval is from \( x = -10 \) to \( x = 0 \).