Finding Domain Algebraically

What are the domain and range?

• D: (-∞, 0) ᴜ (0, ∞)
  R: (-∞, 5) ᴜ (5, ∞)
• D: (-∞, 5) ᴜ (5, ∞)
  R: (-∞, 0) ᴜ (0, ∞)
• D: (-∞, 0) ᴜ (0, ∞)
  R: (-∞, -5) ᴜ (-5, ∞)
• D: (-∞, -5) ᴜ (-5, ∞)
  R: (-∞, 0) ᴜ (0, ∞)

Find the domain of the function.
x
__________
x²-4x-12

• (-∞,-2) u (-2,6) u (6, ∞)
• (-2,6)
• (-∞,2) u (2,6) u (6, ∞)
• (-∞,2) u (6 ,∞)

Which is the domain of the following?

• (−∞, 3) and (3, +∞)

• (−∞, -3) and (-3, +∞)

• (−∞, 2) and (2, +∞)

• (−∞, 6) and (6, +∞)

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]
• Domain: [1, ∞)  Range: (-∞, 4]
• Domain: [-1. ∞) Range: [4, ∞) 
• Domain: [4, ∞) Range: [-1,∞) 

Identify the Range

• (- ∞, -2 ]
• [ -2, ∞ )
• All Real Numbers
• [ 0, ∞)