The equation of the square root function is written |f(x)=a\sqrt{bx}|, where |a| and |b| are both non-zero.
Note: When |a=1| and |b=1|, we get the equation |f(x)=\sqrt{x}| which corresponds to the basic form of the square root function.
This concept sheet explores the square root function and the behavior of its parameters. For more details, see the following concept sheets.
If we denote the area of a square by |x| and the length of a side by |y|, we obtain the equation |f(x)=\sqrt{x}|. Here, |a=1| and |b=1|. The graph below illustrates the square root function.
| |x| | |y| |
|---|---|
| |1| | |1| |
| |4| | |2| |
| |9| | |3| |
| |16| | |4| |
Notice that the function has a vertex, which is always located at the origin |(0,0)| when the equation is of the form |f(x)=a\sqrt{bx}.|
Pour valider ta compréhension à propos de la résolution de problèmes impliquant la fonction racine carrée de façon interactive, consulte la MiniRécup suivante.
