Characteristics of Polynomial Graph

Which of the following statement are false.

• There is a relative min at the point (8,0)

• There is another relative min at the point (0,-7.5)

• There is a relative max at the point (5,2.5)

• There are more relative maximums than there are relative minimums.

What is the maximum number of turning points for the function?
f(x) = -x⁵ - 4x +2

• 1

• 2

• 3

• 4

What kind of leading coefficient does the function have?
  f(x) = -2x² + 4x - 7

• positive

• negative

What kind of leading coefficient does the function have?
  f(x) = 4x⁴ + 6x³ - x

• positive

• negative

At what x-value does the relative maxima occur?

• 2.5

• 8

• 3

• 5

Fill in the blank:  The maximum number of turning points is ____ less than the degree of the polynomial.

• 0

• 1

• 2

• 3

• (1, 4)
• (0, 2)
• (-1, 0)
• (2, 0)

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises

• Left Side:  Rises
  Right side: Falls

• Left side: Falls
  Right side: Rises

• Left side: Falls
  Right side: Falls

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)