State when the function is increasing and decreasing using interval notation. Use inf for . Increasing: [Fill in the blank], Decreasing: [Fill in the blank],

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Here's how to think about the intervals for increasing and decreasing without needing to see the actual function graph, using the provided candidate intervals as options. Option 1: (-1,1) - This interval excludes the endpoints and covers the middle portion between -1 and 1. If the function is increasing here, then the slope is positive on (-1,1); if decreasing here, the slope is negative on (-1,1). Without the graph, both possibilities could be valid for this middle interval, but typically the middle region is where a function might switch from increasing to decreasing or vice versa depending on the function’s shape. Option 2: [-1,1] - This interval includes the endpoints -1 and 1. If the function is increasing on [-1,1], it implies nondecreasing behavior across the entire closed interval, including at -1 and 1. However, using closed brackets at endpoints can reflect stationary points exactly at -1 and 1 or mere endpoint conventions. In many standard ......Login to view full explanation

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