Continuity test:<br />A function is continuous at x = c if it satisfies the following conditions:<br />
The function is ______________________ at c. ________________ exists.
The function approaches the same y value on the ________________________________ sides of x = c.
The y value that the function approaches is from each side is __________________.
Is the function continues at the given x-value?<br />a)fx=3x2+7; x = 1<br />b)fx=x-2x2-4; x = 2<br />c)fx=1x if x>1x if x≤1; x = 1<br />Increasing, Decreasing, End behavior<br />Describe the end behavior of the functions. Give the intervals on which they are increasing or decreasing.<br />a)fx=-2x3b)gx=-x2-x+5<br />______________________________________________ are the points on a graph at which a line drawn tangent to the curve is horizontal or vertical.<br />
___________________________________ is where the function changes from increasing to decreasing.
___________________________________ is where the function changes from decreasing to increasing.
_____________________________________________ is where the graph changes its curvature.
Rational Functions<br />A rational function is the __________________________________ of two polynomial functions.<br />Rational functions have _______________________________________________________.<br />
This creates either a ___________________________________________ or a ________________ in the graph.