Worksheet: Local Extrema in Graphs of Functions

Q1:

Find the maximum and minimum values of the function , where .

• A maximum value: , minimum value:
• B maximum value: , minimum value:
• C maximum value: , minimum value:
• D maximum value: , minimum value:
• E maximum value: , minimum value:

Q2:

Determine the number of local extrema for the function .

Q3:

Which graph has three real zeros and two local maxima?

• A
• B
• C

Q4:

Using a graphing calculator to graph the function, find and classify all the extreme points of . If necessary, round any values to 2 decimal places.

• ALocal minimum: , local maximum:
• BLocal minimum: , local maximum:
• CLocal minimum: , local maximum:
• DLocal minimum: , local maximum:

Q5:

Determine the local maximum and minimum values of the function .

• Alocal maximum value
• Blocal minimum value, local maximum value
• Clocal minimum value
• Dlocal maximum value, local minimum value
• Elocal minimum value

Q6:

Find the values of the local maximum and minimum of given .

• Athe local maximum value is , the local minimum value is
• Bthe local maximum value is , the local minimum value is
• Cthe local maximum value is , the local minimum value is
• Dthe local maximum value is , the local minimum value is
• Ethe local maximum value is , the local minimum value is

Q7:

Determine the number of local extrema for the function .