Finding the domain asymptote and x intercept of a logarithm

The video tutorial covers the importance of completing homework for understanding function transformations. It explains how adding or subtracting values inside or outside a function affects its graph, including shifts and reflections. The tutorial also demonstrates how to find the X intercept of a function using logarithms.

What is the primary focus of the problem discussed in the introduction?

• Finding the slope of a line

• Calculating the area under a curve

• Solving a quadratic equation

• Determining the domain, range, and X-intercept

What happens to a graph when a number is added outside the function?

• It shifts up or down

• It remains unchanged

• It shifts left or right

• It reflects over the Y-axis

What is the domain of the original logarithmic function discussed?

• (-∞, ∞)

• (0, ∞)

• (-∞, 0)

• (0, 1)

How does adding a number inside a function affect its graph?

• It changes the graph's domain

• It reflects the graph over the X-axis

• It shifts the graph left or right

• It shifts the graph up or down

What is the effect of a negative sign outside the function?

• It reflects the graph over the Y-axis

• It reflects the graph over the X-axis

• It shifts the graph right

• It shifts the graph left

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

• X = 12

• X = 9

• X = 6

• X = 3

What does a negative sign inside the function indicate?

• A shift down

• A reflection over the Y-axis

• A reflection over the X-axis

• A shift up