Given the function f(x)= cases x^ 2 , & x<0

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Given the function

f(x)=\begin{cases} x^{2}, & x<0,\\ \sqrt{x+1}, & x\ge 0, \end{cases}

calculate the following: (i)

f(-3)

(ii)

f(0)

(iii)

f(3)