What is the range of the function #F(X) = ( X - 1)^2 + 6#?
All real numbers
The range of a function
Calculus gives you some better tools to answer this type of equation, but since it's algebra, we won't use them. In this case, the best tool is probably to graph the equation.
It is of quadratic form, so the graph is a parabola, opening up.
This means that it has a minimum point. This is at
There is NO value of
Therefore the range of the function is all real numbers