Function Families Practice

Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the function shown in the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x + 3)
• y = √(x) - 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range?

• (3, ∞)

• [3, ∞)

• (2, 3)

• [2, ∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

Which of these equations shifts a radical equation right 1 time and up 2 times?

• y = √(x + 1) - 2

• y = √(x - 1) + 2

• y = √(x - 2) + 1

• y = √(x + 2) - 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which function matches the graph?

• A

  f(x) = − ∛(x + 3) − 1

• B

  f(x) = − ∛(x - 3) − 1

• C

  f(x) = ∛(x + 3) − 1

• D

  f(x) = ∛(x - 1) + 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Given the graph, what is the domain of the function?

• x ≥ -3

• y ≥ -3

• All Real Numbers

• y ≥ -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Given the graph, what is the range of the function?

• x ≥ -3

• y ≥ -3

• All Real Numbers

• y ≥ -1

Tags

CCSS.HSA.REI.D.10

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Tags

CCSS.HSF-LE.A.1A