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SSC Applied Mathematics QUESTION #4156
Question 1
For the piecewise function $f(x) = \begin{cases} 3x+2 & x < 0 \ 2-x & x \geq 0 \end{cases}$, what is $f(0)$?
  • $2$✔️
  • $0$
  • $-2$
  • Undefined
Correct Answer Explanation
At $x = 0$, using the second piece: $f(0) = 2 - 0 = 2$. Also $\lim_{x \to 0^-} (3x+2) = 2$, so continuous at 0.