1. The problem asks to determine whether the function is increasing, constant, or decreasing between the points A-B, B-C, C-D, and D-E based on the graph. 2. To determine the behavior of a function between two points, observe the change in the y-values as x increases: - If y increases as x increases, the function is increasing. - If y stays the same as x increases, the function is constant. - If y decreases as x increases, the function is decreasing. 3. Between points A (-5,0) and B (-2,4): - The y-value goes from 0 to 4, which is an increase. - Therefore, the function is increasing between A and B. 4. Between points B (-2,4) and C (1,3): - The y-value goes from 4 down to 3, which is a decrease. - Therefore, the function is decreasing between B and C. 5. Between points C (1,3) and D (4,-3): - The y-value goes from 3 down to -3, which is a decrease. - Therefore, the function is decreasing between C and D. 6. Between points D (4,-3) and E (5,1): - The y-value goes from -3 up to 1, which is an increase. - Therefore, the function is increasing between D and E. Final answers: - A to B: increasing - B to C: decreasing - C to D: decreasing - D to E: increasing