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Functions defined by integrals

The graph of the function  f ~f~ is composed of two segments and two quarter-circle arcs as shown. The function  F(x) ~F(x)~ is defined by the integral expression
F(x)=5xf(t)dt\displaystyle F(x)=\int_{-5}^x f(t)\,dt\,.
Determine all  x ~x~ so that  F(x)=0~F(x)=0\,.
Choose all answers that apply:
Choose all answers that apply: