Characteristics of Polynomial Graphs

Is the leading coefficient positive or negative

• positive
• negative

Tags

CCSS.HSA.REI.D.10

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

Tags

CCSS.HSA.REI.D.10

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the zeros.

• x = 0 and 4
• x = 0 and -4
• x = 0
• x = -4

Tags

CCSS.HSF-IF.C.7A

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6
• f(x) = x⁴+3x²-3x+1
• f(x) = -x³+2x²-x-6
• f(x) = x⁴+x³+5x²-6

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)