Quiz on Logarithmic Functions

Evaluate to the nearest thousandths.

• 0.600

• 0.690

• 0.693

• 0.694

What is the domain?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

What is the x-intercept of log₇(x)?

• (2, 0)

• (-1, 0)

• (0, 1)

• (1, 0)

• 
• 
• 
• 

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

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

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers

• D: all real numbers
  R: y ≥ 0

• D: x ≥ 2
  R: y ≥ 3

• D: x ≤ 2
  R: y ≤ 3

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis