Maxima and Minima of Polynomials

How many local maxima and local minima are there in the graph?

• 3 local maxima and 3 local minima

• 3 local maxima and 2 local minima

• 2 local maxima and 3 local minima

• 2 local maxima and 2 local minima

Which equation best matches the graph shown?

• y = 2(x + 5)² - 6

• y = 2(x - 5)² - 6

• y = 2(x - 5)² + 6

• y = 2(x + 5)² + 6

Determine whether the quadratic function has a maximum or a minimum value and then determine the maximum or minimum value of the function.

f(x) = 3(x + 8)² - 7

• maximum = 7

• maximum = - 7

• minimum = 7

• minimum = - 7

Estimate the x-coordinates at which the relative maxima and minima occur.

• relative maxima at -4

• relative minima at -4

• relative maxima at 0

• relative minima at 0

What are the min/max points for the polynomial?
x³ + x² - x - 3

• Min: (-0.9, -0.1)
  Max: (-1, 4)

• Min: (-.3, 2.8)
  Max: (1, -4)

• Min: (-5, -6)
  Max: (-2.3, 3.5)

• Min: (0.3, -3.2)
  Max: (-1, 4)

What is the local maximum of the given function?

• (-2, 0)

• (-0.78, 1.6)

• (1.3, -5)

• (2, 0)

What is the relative maximum value?

• y = 4

• y = 2

• y = 1

• y = -1

Identify all local minimum(s):

• (-3, -1.5)

• (3, 0)

• (0, 3)

• (-4, 0)

• (-2, 0)

The minimum value is located at...

• -1.5

• 0.35

• 1.5

• -3.9

• ( -3.2, 90.3)

• (-4.2, 97.5)

• (-3.7, 97.5)

• (-3.9, 88.6)