Find all slopes of the curve at the given point. [It may be helpful to graph the curve.]
B) -3 and 0
C) -3 and 3
D) 0, undefined

Question

Find all slopes of the curve at the given point. [It may be helpful to graph the curve.] 
B) -3 and 0 
C) -3 and 3 
D) 0, undefined

Quizplus · Accepted Answer

From the graph, we can see that the slope at the point is negative when x is less than 1, and positive when x is greater than 1. This means the slope changes sign at x=1, which implies that the slope is 0 at x=1. Therefore, the slopes at the point are -3 and 3.

Find All Slopes of the Curve at the Given Point