Given the function f (x) = 4x ^ 2-4ax, X ∈ [0,1], the solution set of inequality | f (x) | > 1 about X is an empty set, then the value range of real number a satisfying the condition =?

Given the function f (x) = 4x ^ 2-4ax, X ∈ [0,1], the solution set of inequality | f (x) | > 1 about X is an empty set, then the value range of real number a satisfying the condition =?

|If the solution set of F (x) | > 1 is empty, then | f (x)|