Sketching Polynomial Functions

Is the leading coefficient positive or negative?

• positive

• negative

• not enough information

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞

• x → ∞, y→ ∞ and
  x→⁻∞, y→∞

• None of these

• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ∞ and x→⁻∞, y→ 0

• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Which equation MOST LIKELY matches the graph?

Given the polynomials: c(x)=x^3-15x^2+72x-112 a(x)=x^2+5 k(x)=x^3+21x^2+144x+324 e(x)=2x^2+28x+96 match each polynomial function to its graph.

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Describe the type of polynomial shown.

• Even degree, negative leading coefficient

• Even degree, positive leading coefficient

• Odd degree, negative leading coefficient

• Odd degree, positive leading coefficient

Describe the end behavior of the graph.

• x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→0

• x →∞,y→∞ and x→⁻∞, y→⁻∞

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