Domain and Range Relative Maxima/Minima Polynomials

Which of the following statements is true?

• (a) The absolute minimum of a function can occur at an endpoint.

• (b) The absolute minimum of a function cannot be a local minimum.

• (c) A local maximum can occur at an endpoint.

Does this function have a minimum, maximum, both or neither?

• Minimum

• Maximum

• Both

• Neither

Find local maximum and local minimum values of the function f ( x) = x^3-3x

• -1 , 1

• 2 , -2

• 2 , -1 

• 1 , 0 

When is this function increasing?

• -3<x<3

• -2.5<x<2.5

• x>2.5

• x>3

The maximum or minimum point are called the turning or stationary point.

• True

• False

What is the range of the function?

• [-1, +∞)

• (-1,1)

• [1.5, +∞)

• (-2, 2)

• (-∞, ∞)
• [-2, 2]
• (-2, 2)
• [-5, 5]

What is the domain and the range for the graph?

• Domain : -2 ≤ x ≤ 2
  Range : 0 ≤ y ≤ 4

• Domain : 0 ≤ x ≤ 4
  Range : -2 ≤ y ≤ 2

• Domain : All real #s
  Range : y ≤ 4

• Domain : -2 ≤ x ≤ 2
  Range : y ≤ 4

What is the domain of the graph?

• All real numbers

• To Infinity and beyond

• y ≥ 0

• x ≥ 0

What is the range of the graph?

• All real numbers

• To Infinity and beyond

• y ≥ 0

• x ≥ 0