Critical Points and Extrema

Open Ended

Why would it be important to know the maximum and minimum points in a function?

​Between domain [-4, -2]

​Critical points between

domain [-2, 0]

​Critical points in

entire domain

Multiple Select

Select all the local maxima or minima points 

• (2,-2)

• (0,2)

• (2,0)

• (-2,2)

• (-1,-2)

Multiple Choice

Is there an absolute maxima or absolute minima point between the domain [1,4] ?

• Absolute maximum

• Absolute minimum

• Neither

• Both

​Critical points between

domain [1, 4]

Multiple Select

Select all the local maxima or minima points 

• $$\left(-\pi,0\right)$$  

• $$\left(-\frac{\pi}{2},-2\right)$$  

• $$\left(\frac{\pi}{2},2\right)$$  

• $$\left(\frac{3\pi}{2},-2\right)$$  

• $$\left(2\pi,0\right)$$  

Multiple Choice

Is there an absolute maxima or absolute minima point between the domain  $$\left[-\pi,\pi\right]$$  ?

• Absolute maximum

• Absolute minimum

• Neither

• Both

​Critical points

Multiple Choice

Are there local maxima or absolute minima points?

• Local maximum

• Local minimum

• Neither

• Both

Multiple Choice

Is there an absolute maxima or absolute minima point between the domain (2,7) ?

• Absolute maximum

• Absolute minimum

• Neither

• Both

​Critical points

​Critical points between

domain (2,7) 

​SUMMARY

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