(a) Increasing at point Q; (b) Concave up at points A and C; (c) Most negative slope at point F.
In the given graph, the function is increasing at point Q because, as we move from left to right along the x-axis, the corresponding y-values at point Q are consistently rising.
The graph is concave up at points A and C. Concave up means that the curve is bending upward. At points A and C, the tangent lines to the curve are below the curve itself, indicating a positive concavity.
The point with the most negative slope is F. This implies that at point F, the slope of the tangent line is steepest, and as we move along the curve from left to right, the rate of decrease of the function is the highest at this point.