Let f(x)= cases x^ 2 -4x,&x 1, 6-2x,&x>1

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f(x)=\begin{cases}x^{2}-4x,&x\le 1,\\6-2x,&x>1.\end{cases}

For the accumulation function

F(x)=\int_{-2}^{x} f(t)\,dt

, state the open interval(s) on which

F

is concave down.