Match each observation (a)–(e) with a conclusion (A)–(E).

Observations

(a) The point (3, 4) is on the graph of f′(x).

(b) The point (3, 4) is on the graph of f (x).

(c) The point (3, 4) is on the graph of f′(x).

(d) The point (3, 0) is on the graph of f′(x), and the point (3, 4) is on the graph of f′(x).

(e) The point (3, 0) is on the graph of f′(x), and the point (3, -4) is on the graph of f′(x).

Conclusions

(A) f(x) has a relative minimum point at x = 3.

(B) When x = 3, the graph of f(x) is concave up.

(C) When x = 3, the tangent line to the graph of y = f(x) has slope 4.

(D) When x = 3, the value of f (x) is 4.

(E) f(x) has a relative maximum point at x = 3.