Question 83400
The graph of y=x^2 is a parabola that opens upward.  Therefore, {{{y=x^2 +1}}} is that same parabola that opens upward, but it is moved UP one unit.  It looks like this:
{{{graph(300,300, -6, 6.5, -4,8,x^2+1) }}}


A graph is increasing if when you move along the graph from LEFT to RIGHT, the y value becomes larger, and it is decreasing if when you move from LEFT to RIGHT the y value becomes smaller.  From looking at the graph, notice that the graph is DECREASING on the left side of the graph, and INCREASING on the right side of the graph.  Therefore, it is DECREASING from -infinity to x=0, and it is INCREASING from x=0 to infinity.


R^2 at SCC