1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false? The graph of f is always concave up. The graph of f has an inflection point at x = 0. The graph of f has a relative minimum at x = 0. The graph of the second derivative is always positive.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false?
The graph of f is always concave up.
The graph of f has an inflection point at x = 0.
The graph of f has a relative minimum at x = 0.
The graph of the second derivative is always positive.
Transcribed Image Text:1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false? The graph of f is always concave up. The graph of f has an inflection point at x = 0. The graph of f has a relative minimum at x = 0. The graph of the second derivative is always positive.
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