Question

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 ?

Answer 1

D. The function f has 3 horizontal tangent lines

Explanation:

i got 100%

Answer 2

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.