MathematicsMedium175×since 2002Q2627Let f:R→Rf:R \to Rf:R→R be a continuous function defined by $f\left( x \right) = {1 \over {{e^x} + 2{e^{ - x}}}}$ Statement - 1 : f(c)=13,f\left( c \right) = {1 \over 3},f(c)=31, for some c∈Rc \in Rc∈R. Statement - 2 : 0<f(x)≤122,0 < f\left( x \right) \le {1 \over {2\sqrt 2 }},0<f(x)≤221, for all x∈Rx \in Rx∈RAStatement - 1 is true, Statement -2 is true; Statement - 2 is not a correct explanation for Statement - 1.BStatement - 1 is true, Statement - 2 is false.CStatement - 1 is false, Statement - 2 is true.DStatement - 1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement - 1.Check answerSkip