Square Root, Cubic Root, Function Inverses

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF.BF.B.4

What transformations has the function undergone compared to the parent function f(x)= $x^3$  ?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]
• Domain: [2, ∞)
  Range: (-∞, ∞)
• Domain: (-∞, ∞)
  Range: (-∞, ∞)
• Domain: (-∞, 2]
  Range: [2, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Find the cube root. 

• 9
• 3
• -9
• -3

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.2

Compared to the parent function f(x)= $x^{\frac{1}{3}}$  

• The range is y ≥ 1

• It has been reflected over the x-axis

• The function has been shifted up 1 unit

• The function has been shifted up 2 units

What are the transformations of this functions compared to the parent function f(x)= $\sqrt{x}$   ?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7