The line tangent to the graph of the twice-differentiable function f at the point = 3 is used to approximate the value of f(3.25). Which of the following statements guarantees that the tangent line approximation at a = 3.25 is an underestimate of f(3.25) ? A B (0) The function f is decreasing on the interval 3 ≤ ≤3.25. The function f is increasing on the interval 3 < x <3.25. The graph of the function f is concave down on the interval 3 < a <3.25. The graph of the function f is concave up on the interval 3 ≤ x ≤3.25.
The line tangent to the graph of the twice-differentiable function f at the point = 3 is used to approximate the value of f(3.25). Which of the following statements guarantees that the tangent line approximation at a = 3.25 is an underestimate of f(3.25) ? A B (0) The function f is decreasing on the interval 3 ≤ ≤3.25. The function f is increasing on the interval 3 < x <3.25. The graph of the function f is concave down on the interval 3 < a <3.25. The graph of the function f is concave up on the interval 3 ≤ x ≤3.25.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The line tangent to the graph of the twice-differentiable function f at the point a = 3 is used to approximate the value of f(3.25). Which of the following statements guarantees
that the tangent line approximation at a = 3.25 is an underestimate of f(3.25)?
A
(В
(С
D
The function f is decreasing on the interval 3 ≤ ≤3.25.
The function f is increasing on the interval 3 <z <3.25.
The graph of the function f is concave down on the interval 3 ≤ x ≤ 3.25.
The graph of the function f is concave up on the interval 3 ≤ x ≤3.25.
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