Characteristics of Functions

Where is the function positive?

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is the function increasing or decreasing?

• increasing

• decreasing

• increasing if x > 0 and and decreasing if x < 0

• neither

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the domain and the range of the function?

• domain (-∞,∞) and range (-∞,∞)

• domain (∞,-∞) and range (∞,-∞)

• domain (-∞, 3] and range [3,∞)

• domain (-∞,1] and range [1,∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Is the function increasing or decreasing?

• increasing

• decreasing

• both

• neither

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

On what interval is the graph decreasing?

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the DOMAIN?

• All Real Numbers

• {0, 1, 2, 3, 4,...}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

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

• increasing x > -1 and decreasing x<-1

• increasing x < -1 and decreasing x > -1

• increasing ꓣ and decreasing nowhere

• increasing -1 < x < 4 and decreasing -3 < x < 1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• positive x > -1 and negative x < -1

• positive nowhere and negative -4 < x < -1

• positive x < -3 and x > 1 and negative -3 < x < 1

• positive R and negative x < -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

Identify the function's domain and range.

• domain -∞ to ∞ and range -∞ to ∞

• domain -∞ to ∞ and range 4 to ∞

• domain -∞ to ∞ and range -4 to ∞

• domain -3 to 1 and range -4 to ∞

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7