1.
The function f(x)={14(3x2+1),<x154x,1<x<44x,4x<f(x) = \begin{cases} \dfrac{1}{4}(3x^2 + 1), & -\infty < x \leq 1 \\[8pt] 5 - 4x, & 1 < x < 4 \\[8pt] 4 - x, & 4 \leq x < \infty \end{cases} is: