The function is increasing: (-7,4), decreasing: (-∞,-7) U (0,∞), constant: nowhere.
Summary of the four possible answers:
1. Increasing: (-4,0) Decreasing: (-00,-4) U (0, 0) Constant: No where
2. Increasing: (-00,-7) (4,0) Decreasing:(-4,0) Constant: No where
3. Increasing: (-7,4) Decreasing: (-00,-7) (0,00) Constant: No where
4. Increasing: (-00,-7) (4, 00) Decreasing:(-4,0) Constant: No where
Image analysis:
The image shows a graph of a function that is increasing from (-00,-7) to 4, then decreasing from 4 to 0, and then increasing from 0 to infinity. The function is never constant.
Answer 1 is incorrect. The function is increasing from (-00,-7) to 4, not just (-4,0).
Answer 2 is incorrect. The function is decreasing from 4 to 0, not (0,00).
Answer 3 is correct. The function is increasing from (-7,4) and decreasing from (-00,-7) and (0,00).
Answer 4 is incorrect. The function is decreasing from 4 to 0, not (4,00).
Conclusion:
The correct answer is: Increasing: (-7,4) Decreasing: (-00,-7) (0,00) Constant: No where