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is this statement true? If the...

is this statement true?

If the slopes of the tangent lines to curve y=f(x) decrease as x increases on the interval (2,7), then function f(x) is concave down on the interval (2,7).

If the slopes of the tangent lines to curve y=f(x) decrease as x increases on the interval (2,7), then function f(x) is concave down on the interval (2,7).

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