How to find the domain and range of a natural logarithmic function

The video tutorial explains the logarithmic parent function, focusing on the natural log graph. It describes the graph's characteristics, such as its vertical asymptote and x-intercept. The tutorial then demonstrates how to shift the graph 6 units to the left, affecting both the x-intercept and the asymptote. It covers the domain and range of the graph, emphasizing the importance of understanding when a point is on the graph and when it is not, particularly in cases of infinity and discontinuity.

What is the basic shape of the natural logarithm function?

• A curve that crosses at (1,0) and approaches a vertical asymptote

• A sine wave

• A parabola

• A straight line

When a logarithmic graph is shifted 6 units to the left, what happens to the vertical asymptote?

• It moves 6 units to the right

• It remains unchanged

• It moves 6 units to the left

• It disappears

How does shifting a logarithmic graph affect its x-intercept?

• The x-intercept becomes zero

• The x-intercept moves to the left

• The x-intercept remains the same

• The x-intercept moves to the right

What is the domain of a logarithmic graph shifted 6 units to the left?

• From negative infinity to 0

• From 0 to infinity

• From -6 to infinity

• From negative infinity to 6

What is the range of a logarithmic graph?

• From negative infinity to infinity

• From 0 to infinity

• From -1 to 1

• From -6 to 6