3-7 Graphs of Polynomial Functions

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

Tags

CCSS.HSA.APR.B.3

Select all the graphs which show even degree functions.

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Select all the even degree functions.

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.3

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Describe the type of polynomial shown.

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

Tags

CCSS.HSF.BF.B.3

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Is the leading coefficient positive or negative

• positive
• negative

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