Maximum and Minimum Points

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Presentation transcript:

Maximum and Minimum Points

Types of turning points There are two types of turning points Minimum Maximum For each of these turning points: ie. the gradient is 0 Types of turning points

Example Find the coordinates of the turning point on the graph of . Determine its nature. Answer: for a turning point To find the y coordinate: sub x into y= equation To find whether max or min (ie. determining its nature) look at the gradient (y’) either side of x=3 Positive to right Example Negative to left

Determine the coordinates of the turning points of the function . State which point is a maximum and which is a minimum. Example 2