Graphing a logarithmic function with two reflections

The video tutorial covers the basics of logarithms, focusing on graphing logarithmic functions, specifically Y = log base 3 of X. It explains how to create a table of values to plot points and discusses the effects of reflections over the X and Y axes on the graph. The tutorial also analyzes the domain and range of the transformed graph, emphasizing the importance of understanding these concepts for accurate graphing.

What is the domain of the general parent function of a logarithm without transformations?

• From negative infinity to infinity

• From negative infinity to zero

• From zero to infinity

• From zero to negative infinity

When graphing the function y = log base 3 of x, which form is used to create a table of values?

• Quadratic form

• Linear form

• Exponential form

• Polynomial form

What are the coordinates of the point when y = 1 in the graph of y = log base 3 of x?

• (1, 0)

• (0, 1)

• (3, 1)

• (1, 3)

How does reflecting a graph over the X-axis affect the point (3, 1)?

• It becomes (-3, -1)

• It remains (3, 1)

• It becomes (-3, 1)

• It becomes (3, -1)

After reflecting the graph over both axes, what is the new domain of the function?

• From negative infinity to zero

• From zero to infinity

• From negative infinity to infinity

• From zero to negative infinity