Question

let g be a twice differentiable function.
which of the labeled points are inflection points of g?
choose all answers that apply:
a a
b b
c c
d d
e the graph has no inflection points.

Explanation:

An inflection point is where a function's concavity changes (from concave up to concave down, or vice versa).

• At point A: The graph is concave down, and concavity does not change here.
• At point B: The graph remains concave down before and after this point, no concavity shift.
• At point C: To the left of C, the graph is concave down; to the right of C, the graph becomes concave up, so concavity changes here.
• At point D: The graph is concave up, and concavity does not change here.

Answer:

C. C