Задание
Выберите график функции \(\displaystyle y=\sqrt{x}{\small :}\)
| \(\displaystyle \textbf А\) | \(\displaystyle \textbf Б\) |
 |  |
| \(\displaystyle \\[5px] \textbf В\) | \(\displaystyle \\[5px] \textbf Г\) |
 |  |
Решение
Построим график функции \(\displaystyle y=\sqrt{x}{\small }\) и сравним его с графиками из условия.
Для этого составим таблицу значений данной функции:
| \(\displaystyle x\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 4\) | \(\displaystyle 9\) |
| \(\displaystyle y=\sqrt{x}\) | \(\displaystyle \,\,\,\,\sqrt{0}\,\,\,\,\) | \(\displaystyle \,\,\,\,\sqrt{1}\,\,\,\,\) | \(\displaystyle \,\,\,\,\sqrt{4}\,\,\,\,\) | \(\displaystyle \,\,\,\,\sqrt{9}\,\,\,\,\) |
Вычислим значения:
| \(\displaystyle x\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 4\) | \(\displaystyle 9\) |
| \(\displaystyle y=\sqrt{x}\) | \(\displaystyle \,\,\,\,\,\,\,{0}\,\,\,\,\,\,\,\) | \(\displaystyle \,\,\,\,\,\,\,{1}\,\,\,\,\,\,\,\) | \(\displaystyle \,\,\,\,\,\,\,{2}\,\,\,\,\,\,\) | \(\displaystyle \,\,\,\,\,\,\,{3}\,\,\,\,\,\,\,\) |
Построим полученные точки на плоскости и соединим их линией.
Получили график, изображённый на рисунке \(\displaystyle \textbf Б\small.\)
Ответ:\(\displaystyle \textbf Б{\small .}\)