How to graph the logarithmic functions

The video tutorial explains how to graph logarithmic equations, starting with an introduction to logarithmic functions and their types. It demonstrates graphing y = log base 2 of x using tables and discusses the domain and range of logarithmic graphs. The tutorial also covers transformations, including stretching, compressing, shifting, and reflecting graphs, and relates these transformations to quadratic functions.

What is the base of the natural logarithm?

• 10

• 2

• e

• b

When graphing y = log base 2 of x, what is the value of y when x is 1?

• 2

• 1

• 0

• -1

Why does the graph of y = log base 2 of x not cross the y-axis?

• Because y cannot be negative

• Because the graph is a straight line

• Because x cannot be zero

• Because 2 raised to any power cannot be negative

What is the domain of the function y = log base 2 of x?

• Negative infinity to 0

• 0 to positive infinity

• 1 to positive infinity

• Negative infinity to positive infinity

In the transformation equation a * log base b of (cx - h) + k, what does the 'a' represent?

• Shifting the graph left and right

• Reflecting the graph about the x-axis

• Shifting the graph up and down

• Stretching and compressing the graph

How does a negative 'c' value affect the graph of a logarithmic function?

• It shifts the graph up

• It reflects the graph about the y-axis

• It compresses the graph

• It stretches the graph

What is the effect of 'k' in the transformation of a logarithmic graph?

• It shifts the graph up and down

• It reflects the graph about the x-axis

• It shifts the graph left and right

• It stretches the graph