Finding the domain vertical asymptote and x intercepts of a logarithm

The video tutorial covers logarithmic transformations, focusing on changing bases, understanding domain and asymptotes, and graph transformations. It explains how to find X intercepts by converting logarithmic equations to exponential form. The tutorial also discusses the effects of shifting and reflecting graphs on their domain and asymptotes, providing a comprehensive understanding of logarithmic functions.

What is the primary focus when changing the base from exponential to logarithmic?

• Identifying the y-intercept

• Understanding transformations

• Calculating the slope

• Finding the range

What is the domain of a logarithmic function with a vertical asymptote at X = 0?

• Negative infinity to zero

• Zero to infinity

• One to infinity

• Negative infinity to positive infinity

How does shifting a graph up or down affect its domain?

• It doubles the domain

• It reverses the domain

• It has no effect on the domain

• It changes the domain

What happens to the graph of a logarithmic function when it is reflected about the X-axis?

• The range changes

• The domain changes

• The vertical asymptote changes

• The graph remains the same

What is the X-intercept of the function when y = 0 for the equation -log base 3 of X + 2?

• X = 12

• X = 3

• X = 6

• X = 9

In the context of logarithmic functions, what does converting to exponential form help determine?

• The y-intercept

• The slope of the graph

• The X-intercept

• The range of the function

What is the effect of adding a constant to a logarithmic function?

• It alters the domain

• It changes the base of the logarithm

• It shifts the graph up or down

• It shifts the graph left or right