Critical Points and Extrema

Adv Math: Critical Points and Extrema

Multiple Choice

Determine if the leading exponent is odd or even.

• Odd

• Even

Multiple Choice

Identify the extrema.

• Relative max (1, 4), Relative Min (3, 0)

• Relative max (1, 4), Absolute Min (3, 0)

• Absolute max (1, 4), Relative Min (3, 0)

• Relative max (0, 0), Relative Min (3, 0)

Multiple Choice

What type of extrema is (-3,2). Be as precise as possible.

• Absolute minimum

• Absolute maximum

• relative minimum

• Relative maximum

Multiple Choice

Where do you find relative minimums and relative maximums?

• zeros
• y-intercepts
• turning points
• by degree

Multiple Choice

There is a relative maximum at:

• x = -1
• x = 3
• x = -0.5
• x = 1.5

Multiple Choice

What is the relative maximum value?

• y = 4
• y = 2
• y = 1
• y = -1

Multiple Choice

How many extrema (maxes and mins) are in the picture?

• 2
• 3
• 4
• 5

Multiple Choice

Find the critical points of f(x) = 2x⁴- 4x² + 1

• x= 0
• x = -1, 1
• x = -1, 0, 1
• no critical points