Key Characteristics of Function

Over which intervals is the function increasing? (Check more than one answer)

• [–2.5, –2)

• (–2, 0)

• (0, 2)

• (2, 3)

Over which intervals is the function decreasing? (Check more than one answer)

• (–2.5, –2)

• (–2, 0)

• (0, 2)

• (2, 3]

In the above graph complete the following end behavior:
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) → ∞

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→⁻∞

Is the vertex (turning point) of this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Is the graph pictured discrete or continuous?

• Discrete

• Continuous

What is the range of the graph?

• -4 < x ≤ 5

• -4 ≤ x < 5

• -3 < y < 3

• -3 ≤ y ≤ 3

Write the interval that represents the negative portion of the function?

• (-2,1)

• (-0.5,-3.5)

• (-3,0)

Where is the function positive?

• (0,5]

• (-∞,2]

• (-∞,0)