Key Points of Functions

Describe the function's end behavior.

Identify the function's domain and range.

• domain (-∞,∞) and range (-∞,∞)

• domain (-∞, ∞) and range (-4,∞)

• domain (-∞,∞) and range [-4,∞)

• domain [-3, 1] and range [-4,∞)

Where is the function increasing and where is it decreasing?

• increasing nowhere and decreasing (-∞,∞)

• increasing (-∞,1) and decreasing (1,∞)

• increasing (3,∞) and decreasing (-∞,3)

• increasing (-1,3) and decreasing nowhere

Where is the function positive and where is it negative?

• positive (-∞,3) and negative (3,∞)

• positive nowhere and negative (-∞,∞)

• positive (0,1) and negative (3,0)

• positive (0,3) and negative (-1,0)

Where is the function increasing and decreasing?

• increasing (-∞,∞) and decreasing nowhere

• increasing nowhere and decreasing (-∞,∞)

• increasing (1,∞) and decreasing (-∞,1)

• increasing (-1,∞) and decreasing (-∞,-1)

What type of symmetry does the function have?

• none

• reflection symmetry

• rotation symmetry

Where is the function positive and where is it negative?

• positive (-2,1) and (3,∞) and negative (-∞,-2) and (1,3)

• positive (-∞,-1) and (2,∞) and negative (-1,2)

• positive (-1,4) and negative (2,-2)

• positive (∞,3) and (1,-2) and negative (3,1) and (-2,-∞)

Describe the function's end behavior.

Is the graph increasing or decreasing?

• Increasing

• Decreasing

• Both; increasing if x < 3, and decreasing is x > 3

• Both; decreasing if x < 3, and increasing is x > 3

What is the y-intercept?

• None

• (0,3)

• (3,1)

• y = -1