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Let a in R and f : R rarr R be given by...

Let a `in` R and f : `R rarr R` be given by `f(x)=x^(5)-5x+a`, then
(a) `f(x)=0` has three real roots if `a gt 4`
(b) `f(x)=0` has only one real root if `a gt 4`
(c) `f(x)=0` has three real roots if `a lt -4`
(d) `f(x)=0` has three real roots if `-4 lt a lt 4`

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