Learning Resources

Investigation 4: The Square-Root Function & Focus H: Irrational Functions and Inverses

1. The parabola is divided in two symmetrical pieces at the vertex (0, -4).
2. Each half will have result in an inverse function when reflected in the line
   y = x.
3. Since the restriction is to be placed on the domain, and you are interested in creating exactly half the parabola, an appropriate restriction could be
   {x / x 0). This would result in the right half of the parabola which, when reflected in the line y = x, would produce an inverse function. But, there is another possibility as well. The restriction {x / x 0} will give the left side of the parabola which, when reflected in the line y = x, also produces an inverse function. Either of the two answers are acceptable.