Suppose f is a continuous function on [a,b] and suppose that f(a) < 0 and f(b) > 0 What can you say about the number of times that the graph of f crosses the x-axis? What about the number of times the graph of f touches the x-axis? Explain your reasoning.
Suppose f is a continuous function on [a,b] and suppose that f(a) < 0 and f(b) > 0 What can you say about the number of times that the graph of f crosses the x-axis? What about the number of times the graph of f touches the x-axis? Explain your reasoning.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.6: Writing Linear Equations
Problem 3C
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Suppose f is a continuous function on [a,b] and suppose that f(a) < 0 and f(b) > 0
What can you say about the number of times that the graph of f crosses the x-axis?
What about the number of times the graph of f touches the x-axis? Explain your reasoning.
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