The line tangent to the graph of the twice-differentiable function f at the point x = 5 is used to approximate the value of f(5.25). Which of the following statements guarantees that the tangent line
approximation at x = 5.25 is an overestimate of f(5.25) ?
A
The function f is decreasing on the interval 5 < x < 5.25.
B
The function f is increasing on the interval 5 < x < 5.25.
с
The graph of the function f is concave down on the interval 5 < x < 5.25.
D
The graph of the function f is concave up on the interval 5 < x < 5.25.