Function Behavior of Quadratics

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→⁻∞

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even

• Leading Coefficient Positive
  Degree - Odd

• Leading Coefficient Negative
  Degree - Even

• Leading Coefficient Negative
  Degree - Odd

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→⁻∞

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)

• (2,-3)

• (4,3)

• (2,3)

Two functions are shown below. Quadratic function, f(x), is represented in the graph below. Quadratic function, g(x), is represented in the table. Which function is increasing over the interval x > 1?

• f(x)

• g(x)

Answer explanation

g(x) increases where  x > 1. f(x) increases where x > -1.

Which of the following represents a quadratic function?

y = x² - 4x + 5

• down and down

• down and up

• up and down

• up and up

• 1

• 3

• 2

• 5

• 4

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum