Key Features of Logarithmic Graphs

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Match the graph with its equation

• y = log₄ (x)+2
• y = log₄ (x + 2) + 1 
• y = log₄ (x - 1) + 2
• y = log₄ (-x + 2)

Find the domain (all possible inputs) of -ln(x-2)+3

• all real

• (-∞,2)

• (-∞,3)

• (2,∞)

Find the Range (all possible outputs) of -ln(x-2)+3

• all real

• (-∞,2)

• (-∞,3)

• (2,∞)

What is the Domain?

• x > 0
• All Real Numbers
• x > 1
• x < 1

What is the Range?

• y > 0
• All Real Numbers
• y > 1
• y < 1

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

What is the range of this graph?

• All Real Numbers
• y > 1
• y > -1
• y > 5