Key Features of Functions

What is the y-intercept?

• (6, 0)
• (0, 6)
• (-3, 0)
• (0, -3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

On what interval is the graph decreasing?

• (∞, 3)
• (3, -∞)
• (3, ∞)
• (-∞, 3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

What is the maximum?

• None
• (0,4)
• (3,1)
• y = -1

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.B.4

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)

Tags

CCSS.HSF-IF.C.7A

Describe the function's end behavior.

•  $As\ x\rightarrow-\infty,\ y\rightarrow-\infty$ 
   $As\ x\rightarrow\infty,\ y\rightarrow-\infty$  
  

•  $As\ x\rightarrow-\infty,\ y\rightarrow-\infty$  
   $As\ x\rightarrow\infty,\ y\rightarrow\infty$  
  

•  $As\ x\rightarrow-\infty,\ y\rightarrow\infty$  
   $As\ x\rightarrow\infty,\ y\rightarrow-\infty$  
  

•  $As\ x\rightarrow-\infty,\ y\rightarrow\infty$  
   $As\ x\rightarrow\infty,\ y\rightarrow\infty$  
  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the function's domain and range.

• domain (-∞,∞) and range (-∞,∞)

• domain (-∞, ∞) and range (-4,∞)

• domain (-∞,∞) and range [-4,∞)

• domain [-3, 1] and range [-4,∞)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

Define Maximum

• The highest or lowest point on the graph

• The highest y-value on the graph

• The lowest y-value on the graph

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Define Minimum

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The lowest y-value on the graph

Tags

CCSS.HSF-IF.C.7A

Define Axis Of Symmetry

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

• Where the parabola touches or intersects the x-axis, also called the x-intercept

• The highest y-value on the graph

• The highest or lowest point on the graph

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

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)

Tags

CCSS.HSF-IF.C.7A