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The graph of the derivative of a function f crosses the x-axis 3 times. What does this tell you about the graph of f ?

The graph of the derivative of a function f crosses the x-axis 3 times. What does-example-1
User Allen Bargi
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2 Answers

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14 votes

Answer:

D. The function f has 3 horizontal tangent lines

Explanation:

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User Sayil Aguirre
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25 votes
25 votes

Answer:

D. The function f has 3 horizontal tangent lines

Explanation:

Well whenever any function crosses the x-axis, it means that the y-value is equal to zero.

In this case when the derivative passes the x-axis it indicates the tangent line corresponding to that x-value has a slope of zero, which when plotted is a horizontal line.

This means that the graph f has 3 horizontal tangent lines.

User Mark Lauter
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