Piecewise Functions and Domain and Range

What is the proper range?

• (∞, 0 ]

• [ 0 , ∞ )

• (-∞ , ∞)

• [ 0 , 3 ]

Find the Domain:

• -4 ≤ x ≤ 3
• -1 ≤ x ≤ 4
• 4 < x < 3
• -1 < x < 4

Tags

CCSS.HSA.CED.A.3

CCSS.HSF.IF.B.5

Range?

• [-3, ∞)

• [1, ∞)

• (-∞, ∞)

• [-∞, ∞]

Domain?

• [-∞, ∞]

• (-∞, ∞)

• [-3, ∞)

• (∞, -3]

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection x-axis and vertical shrink

What is the value of g(-5) for the function g(x) = 3x - 11

• -26

• 11

• -19

• 12

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is f(-1)?

• 6

• -2

• -4

• 2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the RANGE of the function?

• (-∞, +∞)
• (-∞, 4]
• (-∞, 4)
• [0, 4]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3