What is the x-intercept of a general logarithmic function of the form f(x) = log_b(x)?

• (0, 0)

• (0, 1)

• (1, 0)

• There is no x-intercept.

What is the relationship between the domain and range of an exponential function and its inverse logarithmic function?

• The domain of the exponential function becomes the range of the logarithmic function, and vice versa.

• The domain and range remain the same for both functions.

• The domain of the exponential function becomes the domain of the logarithmic function, and the range of the exponential function becomes the range of the logarithmic function.

• The domain of the exponential function becomes the x-intercept of the logarithmic function.

Which type of transformation directly affects the domain of a logarithmic function?

• Vertical translations

• Horizontal translations

• Vertical dilations

• Vertical reflections

Which transformation can alter the domain of a logarithmic function?

• Vertical translation

• Vertical reflection

• Horizontal reflection

• Vertical dilation

What is the domain of the function f(x) = -2 log3(x - 2)?

• (-infinity, 2)

• (2, infinity)

• (-infinity, infinity)

• [2, infinity)