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An unknown function, h(x), was graphed. At several points along the graph, tangent lines were sketched. The slope of each tangent line was estimated. The

An unknown function,h(x),was graphed.

At several points along the graph, tangent lines were sketched.

The slope of each tangent line was estimated.

The estimated slopes are shown in the table here.

x=a estimated slope of the line tangent toh(x)at x=a
0 0
1 -2/5
2 -4/5
3 -6/5
4 -8/5

What can we conclude about the mystery functionh(x)and its derivative h'(x)? Select ALL that are true, based on the given data.

A. This data suggests that the mystery functionh(x) is decreasing on the interval0

B. This data suggests that the mystery functionh(x)is a negative function on the interval0

C. The derivative function could beh'(x)=-x2 , for0

D. This data suggests that the mystery functionh(x) is concave down on the interval0

E. This data suggests that the mystery functionh(x)is concave up on the interval0

F. The derivative function could beh'(x)=-2/5 , for0

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