Question

The locally linear approximation of the differentiable function f at x=2 is used to approximate the value of f(2.3). The approximation at x=2.3 is an underestimate of the corresponding function value at x=2.3. Which of the following could be the graph of f?

Answer 1

9514 1404 393

Answer:

  D

Step-by-step explanation:

If the actual value is above the value estimated from the tangent to the curve, then the curve must have a positive second derivative: it curves upward.

Only curve D in the second attachment has upward curvature.