Let f(x)=ax17+bsinx sin 2x sin 3x+cx2 sgn(sin x)+d log(x+√1+x2)+x(|x+1|−|x−1|)(ex−e−xex+e−x) be defined on the set of real numbers, (a > 0, b, c, d ∈ R). If f(−7)=7, f(−5)=−5, f(−2)=3, then the minimum number of zeros of the equation f(x)=0 is

Let f(x)=ax17+bsinx sin 2x sin 3x+cx2 sgn(sin x)+d log(x+√1+x2)+x(|x

1.	Let f(x)=ax17+bsinx sin 2x sin 3x+cx2 sgn(sin x)+d log(x+√1+x2)+x(\|x+1\|−\|x−1\|)(ex−e−xex+e−x) be defined on the set of real numbers, (a > 0, b, c, d ∈ R). If f(−7)=7, f(−5)=−5, f(−2)=3, then the minimum number of zeros of the equation f(x)=0 is
Answer» Let $f (x) = a x^{17} + b sin x sin 2 x sin 3 x + c x^{2} sgn (sin x) + d log (x + \sqrt{1 + x^{2}}) + x (\| x + 1 \| - \| x - 1 \|) (\frac{e^{x} - e^{- x}}{e^{x} + e^{- x}})$ be defined on the set of real numbers, (a > 0, b, c, d $\in$ R). If $f (- 7) = 7$ , $f (- 5) = - 5$ , $f (- 2) = 3$ , then the minimum number of zeros of the equation $f (x) = 0$ is