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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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