Level:
Project ID:
1003085507
Accepted:
1
Clonable:
0
Easy:
1
Decide which of the following functions do not have points of discontinuity.
\[ \begin{aligned}
f_1(x)&=\left\{\begin{array}{lc} x^2 & \text{if } x\leq 1 \\ 2x & \text{ if } x > 1 \end{array} \right. \\
f_2(x)& =\left\{ \begin{array}{lc} x^2-2x & \text{if } x < -1 \\ 3x & \text{if } x\geq-1 \end{array} \right. \\
f_3(x)&=\left\{ \begin{array}{lc} 3-x & \text{if } x\leq 2 \\ (x-1)^2 & \text{if } x > 2 \end{array} \right. \\
f_4(x)&=\left\{ \begin{array}{lc}x^2-2x+1& \text{if } x < 1 \\ \sqrt{x-1} & \text{if } x\geq1 \end{array} \right.
\end{aligned} \]
The only such functions are:
\( f_3 \), \( f_4 \)
\( f_2 \), \( f_3 \), \( f_4 \)
\( f_2 \), \( f_3 \)
\( f_3 \)