1. 3.6 Critical Points

2. Critical Points
.Maximum: When the graph is increasing to the left of x = c and decreasing to the right of x = c (top of hill)
Minimum: When the graph of a function is decreasing to the left of x = c and increasing ot the right of x = c (bottom of valley)
Point of Inflection: a point where the graph changes its curvature.

3. Extremum – a minimum or maximum value of a function
Relative Extremum – a point that represents the maximum or minimum for a certain interval
Absolute Maximum – the greatest value that a function assumes over its domain
Relative Maximum – a point that represents the maximum for a certain interval (highest point compared to neighbors )
Absolute Minimum – the least value that a function assumes over its domain
Relative Minimum – a point that represents the minimum for a certain interval (minimum compared to neighbourhors0

8. To find a point in the calculator
Use your best estimate to locate a point
2nd – calc- max/min
Place curser on left, enter. Place curser on right, enter. Enter

9. Graph the following examples and pick out the critical points
F(x) = 5x3 -10x2 – 20x + 7
F(x) = 2x5 -5x4 –10x3.