1. **State the problem:** We are given a piecewise linear function with two segments intersecting at $x=0$. The left segment goes from $(-2,3)$ to $(0,-4)$ and the right segment goes from $(0,-4)$ to $(2,3)$. We need to determine which two statements correctly describe this function from the options: A) It is linear B) It is decreasing at a constant rate C) It is increasing at a constant rate 2. **Analyze the left segment:** Calculate the slope using the formula $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ For points $(-2,3)$ and $(0,-4)$: $$m=\frac{-4 - 3}{0 - (-2)}=\frac{-7}{2}=-3.5$$ This slope is negative, so the function is decreasing at a constant rate on the left segment. 3. **Analyze the right segment:** Calculate the slope for points $(0,-4)$ and $(2,3)$: $$m=\frac{3 - (-4)}{2 - 0}=\frac{7}{2}=3.5$$ This slope is positive, so the function is increasing at a constant rate on the right segment. 4. **Check linearity:** Each segment is linear because the slope is constant within each segment. However, the entire function is not linear because it has two different slopes and a corner at $x=0$. 5. **Conclusion:** - The function is not linear overall (so A is false). - The left segment is decreasing at a constant rate (B is true). - The right segment is increasing at a constant rate (C is true). **Final answer:** The correct statements are B and C.