The graph of f \'(x) is continuous, positive, and has a relative maximum at x =
ID: 2894926 • Letter: T
Question
The graph of f '(x) is continuous, positive, and has a relative maximum at x = 0. Which of the following statements must be true?
The graph of f is always concave down.
The graph of f is always increasing.
The graph of f has a relative maximum at x = 0.
The graph of f has a relative minimum at x = 0.
The graph of f '(x) is continuous, positive, and has a relative maximum at x = 0. Which of the following statements must be true?
The graph of f is always concave down.
The graph of f is always increasing.
The graph of f has a relative maximum at x = 0.
The graph of f has a relative minimum at x = 0.
Explanation / Answer
Since it is given that f'(x) is positive , which indicates that function f(x) is always increasing.
Hence correct option is (B).
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