## Step 1: Analyze the Graph of \( f \) The graph of \( f \) is shown as a straight line with a **negative slope** (it goes down as you move to the right). - This means \( f(x) = -mx + c \) (where \( m > \)). - The antiderivative of a linear function is a **quadratic function** (parabola). **Explanation:** If \( f(x) \) is a line with negative slope, its antiderivative will be a parabola that opens **downwards** (since integrating a negative slope gives a negative quadratic term). --- ## Step 2: Match with the Options Look at the answer choices on the right: - We are looking for graphs where **all curves are parabolas opening downward** (since the coefficient of \( x^2 \) is negative). **Check the options:** - **Option 3**: All graphs are parabolas opening downward (shaped like an "n"). - Other options include upward parabolas or non-parabolic shapes, which do not match. **Explanation:** Only Option 3 shows exclusively downward-opening parabolas, matching the expected antiderivatives of a line with negative slope. --- ## Final Answer \[ \boxed{3} \] Option 3 contains only graphs of antiderivatives of \( f \).