1003085507 | math4u.vsb.cz

SubArea:

Limits and continuity

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) & = {\begin{array}{lc} x^{2} & if x \leq 1 \\ 2 x & if x > 1 \end{array} \\ f_{2} (x) & = {\begin{array}{lc} x^{2} - 2 x & if x < - 1 \\ 3 x & if x \geq - 1 \end{array} \\ f_{3} (x) & = {\begin{array}{lc} 3 - x & if x \leq 2 \\ (x - 1)^{2} & if x > 2 \end{array} \\ f_{4} (x) & = {\begin{array}{lc} x^{2} - 2 x + 1 & if x < 1 \\ \sqrt{x - 1} & if x \geq 1 \end{array} \end{aligned}

The only such functions are:

f_{3}

,

f_{4}

f_{2}

,

f_{3}

,

f_{4}

f_{2}

,

f_{3}

f_{3}