Suppose that a curve has a slope equal to zero at some point A.To the right of A, the curve may
A)have a positive slope.
B)have a negative slope.
C)be a straight line.
D)All of the above are correct.

Question

Quizplus · Accepted Answer

If the curve has a slope of zero at point A, it means that the tangent line at point A is horizontal. This implies that the curve could be flat, meaning it is a straight line, or it could start increasing again, meaning that it could have a positive slope to the right of A. Similarly, the curve could start decreasing again, meaning it would have a negative slope to the right of A. Thus, all the choices are correct.

Suppose That a Curve Has a Slope Equal to Zero