Polynomials Classifying and End Behavior

Identify the sign of the leading coefficient and the degree of the polynomial.

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

What could be the equation of the polynomial function shown in this graph?

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Tags

CCSS.HSA.APR.B.3

Classify this polynomial by its degree and number of terms:  x² + 6

• Linear polynomial

• Quadratic trinomial

• Quadratic binomial

• Cubic binomial

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

Which function has this end behavior?
Note: f(x)=y

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Which function has this end behavior?
Note: f(x)=y

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

Classify the polynomial by degree and number of terms:

3x² – 8x + 1

• Cubic Trinomial

• Cubic Binomial

• Quadratic Trinomial

• Quadratic Binomial

Classify the polynomial based on degree and number of terms: 3x+5x⁴ - 8

• Quadratic trinomial

• 5th degree binomial

• Linear Trinomial

• 4th degree trinomial

Classify the polynomial based on degree and number of terms: 5x³+6x²+7x - 6

• Cubic 4-term polynomial

• 4th degree trinomial

• 4th degree binomial

• Cubic trinomial