Key Points of Functions

Find the function's x- and y-intercepts.

• x-int (0,-3) and (0,1)

  y-int (-4,0)

• x-int (-3,0) and (1,0)

  y-int (0,-4)

• x-int (-4, 1)

  y-int (-4, ∞)

• x-int (-3,0) and (1,0)

  y-int (0,-3)

Find the function's maximum and minimum points

• no maximum

  minimum (-4,-1)

• no minimum

  maximum (-3, 1)

• no maximum

  minimum (-1,-4)

• maximum (-3,1)

  minimum (0,-3)

Describe the function's end behavior.

Identify the intervals where the function is positive and where it is negative.

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

• positive nowhere and negative (-1, -4)

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

• positive (-∞,∞) and negative (-4,∞)

Identify where the function is increasing and where it is decreasing.

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

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

• increasing (-∞,∞) and decreasing nowhere

• increasing (-1, -4) and decreasing (-3, 1)

Identify the function's domain and range.

• domain (-∞,∞) and range (-∞,∞)

• domain (-∞, ∞) and range (-4,∞)

• domain (-∞,∞) and range [-4,∞)

• domain [-3, 1] and range [-4,∞)

Identify the function's symmetry.

• no symmetry

• reflection symmetry

• rotation symmetry

Identify the function's x- and y-intercepts.

• x-int (3,0) and y-int (0,1)

• x-int (0,3) and y-int (1,0)

• x-int (1,3) and y-int (3,1)

• x-int (3,0) and y-int none

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)