Understanding Absolute Minimum and Maximum Values

What is the first step in finding the absolute minimum or maximum of a function?

• Identify the critical points

• Determine the function's domain

• Calculate the derivative of the function

• Find the integral of the function

What does the first fundamental theorem of calculus help us determine?

• The maximum value of a function

• The change in the value of a function over an interval

• The derivative of a function

• The critical points of a function

How is the area of a semi-circle calculated?

• Two pi times radius

• pi times radius squared

• One-half pi times radius squared

• pi times diameter

When integrating from right to left, how are areas above the x-axis considered?

• Zero

• Positive

• Undefined

• Negative

What is the value of f at negative five?

• 3 plus pi

• 3 plus 3 pi over 2

• 3 plus 2 pi

• 3 minus pi over 2

What is the value of f at negative three?

• 3 plus pi

• 3 plus 2 pi

• 3 minus pi

• 3 plus pi over 2

What is the value of f at four?

• 6

• 5

• 4

• 3

What is the value of f at five?

• 5.5

• 6

• 4.5

• 5

At which x value does the function have an absolute minimum?

• x = -5

• x = 0

• x = 1

• x = 5

What is the absolute minimum value of the function?

• 2

• 3

• 4

• 5