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Let f: RvecR be differentiable and stric...

Let `f: RvecR` be differentiable and strictly increasing function throughout its domain. Statement 1: If `|f(x)|` is also strictly increasing function, then `f(x)=0` has no real roots. Statement 2: When `xvecooorvec-oo,f(x)vec0` , but cannot be equal to zero.

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Statement 1 The equation a^(x)+b^(x)+c^(x)-d^(x)=0 has only real root, if agtbgtcgtd . Statement 2 If f(x) is either strictly increasing or decreasing function, then f(x)=0 has only real root.