Intro to Key Features of Functions

Identify the function's symmetry.

• no symmetry

• reflection symmetry

• rotation symmetry

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

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

• x-int (1,0) and y-int (0,-1)

• x-int (0,1) and y-int (-1,0)

• x-int (1,∞) and y-int (-∞,-1)

• x-int none and y-int (-1,1)

Where is the function positive and where is it negative?

• positive (1,∞) and negative (-∞,1)

• positive (0,∞) and negative (-∞,-1)

• positive (-∞,∞) and negative nowhere

• positive (∞,1) and negative (1,-∞)

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

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

• x-int (-2,0), (1,0), and (3,0) and y-int (3,0)

• x-int (-2,0), (1,0), and (3,0) and y-int (0,3)

• x-int (0,-2), (0,1), and (0,3) and y-int (0,3)

• x-int (0,-2), (0,1), and (0,3) and y-int (3,0)

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.

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