Polynomial Functions and Their Properties

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=0
• (x - 4)(x - 2)(x + 8)=0
• (x - 4)(x + 2)(x + 8)=0
• (x + 4)(x + 2)(x + 8)=0

Tags

CCSS.HSA.APR.B.3

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

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

What is a possible equation in factored form of a function if it has zeros of -2, 4 and 1?

• y=(x+2)(x-4)(x-1)

• y=(x+2)²(x-4)(x-1)³

• y=(x-1)⁶(x+2)(x-4)

• y=(x+1)(x-2)(x+4)

Is the leading coefficient positive or negative?

• negative
• positive

Determine the end behavior of
g(x) = 3x⁴ - 7x³ + 2

• Left side: Rises  
   Right side: Rises

• Left Side:  Rises
  Right side: Falls

• Left side: Falls
  Right side: Rises

• Left side: Falls
  Right side: Falls

What are the x-intercepts of 
f(x)=(x - 5)(x + 15)

• 5

• (5 , 0) and (-15 , 0)

• (0, -5) and (0, 15)

• 0

Select all the functions that have an even number of turning points.

• A

• B

• C

• D

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Identify the 5th degree trinomial with a leading coefficient of -2 from the following options:

• -2x⁵ + 4x³ - 7

• 3x⁵ - 2x + 1

• -2x⁴ + 5x³ - 2

• 2x⁵ - 3x² + 4

Classify by number of terms:
3x³ – 6x