Function Characteristics & Transformations Review

Name the parent function.

• linear
• constant
• absolute value
• quadratic

Name the parent function.

• cube root
• quadratic
• cubic
• square root

What is the RANGE?

• all real numbers
• [1, ∞)
• (-∞, 1]
• none of these

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the DOMAIN?

• [0, ∞)
• (-∞, 0)
• All real numbers
• {0, 1, 2, 3, 4,...}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which is the interval of increasing for the graph?

• (-∞, 1)

• (1, ∞)

• (-∞, ∞)

• (1, 5)

Tags

CCSS.HSF-IF.C.7A

Which are the intervals of decreasing for the graph?

• (-∞, -4)∪(1, 5)

• (-∞, 5)∪(-2, 3)

• (-4, 1)∪(5, ∞)

• (5, -2)∪(3, ∞)

Describe the transformation

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Tags

CCSS.HSF.BF.B.3

What are the transformations of this functions compared to the parent function y = √(x)?

• 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

Describe the end behavior of the function.

• as x → ∞, y → ∞

  as x → -∞, y → -∞

• as x → ∞, y → ∞

  as x → -∞, y → ∞

• as x → ∞, y → -∞

  as x → -∞, y → -∞

• as x → ∞, y → -∞

  as x → -∞, y → ∞

Tags

CCSS.HSF-IF.C.7A

Describe the end behavior of the function.

• as x → ∞, y → -∞

  as x → -∞, y → -∞

• as x → ∞, y → -∞

  as x → -∞, y → ∞

• as x → ∞, y → ∞

  as x → -∞, y → ∞

• as x → ∞, y → ∞

  as x → -∞, y → -∞

Tags

CCSS.HSF-IF.C.7A