Polynomial Graph Behavior

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

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

What is the degree of the function graphed here?

• 6

• 4

• 3

• 5

Is the leading coefficient positive or negative

• positive

• negative

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Tags

CCSS.HSA.APR.B.3

Select the two descriptions that best describe the polynomial FUNction's graph.

• Even degree

• Odd degree

• Positive leading coefficient

• Negative leading coefficient

In the above graph, which root has a multiplicity of 2?

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• -1

• -3

• -120

• 4

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

Tags

CCSS.HSA.CED.A.2

Match the graph to the function

• f(x) = -2x⁶+9x²

• f(x) = x⁶-7x⁴+12x²-x-2

• f(x) = x⁶-3x³+x+2

• f(x) = -x⁶+5x⁴+3x-2

Tags

CCSS.HSA.APR.B.3