Now, look at the valley:
 

a valley
 

Notice that it's shaped like a regular bowl...  In Calculus, you'll call this "concave up."

Look at the slopes:
 

the slopes to the left of the bottom of a valley are negative, and the slopes to the right of the bottom of a valley are positive
 

Here's the list in order from left to right:

-4 / 3 , -1 , -2 / 3 , -2 / 7 , 0 , 2 / 7 , 2 / 3 , 1 , 4 / 3
 

Notice that the slopes of the tangent lines are increasing.