Logarithmic and Exponential Functions

The video tutorial covers graphing exponential and logarithmic parent functions. It begins with an introduction to these functions, followed by creating a table of values for graphing. The tutorial then demonstrates graphing the exponential function y = 2^x, highlighting its classic curve. Finally, it graphs the logarithmic function y = log2(x), explaining its inverse relationship with the exponential function.

What are the two types of parent functions discussed in the video?

• Linear and Quadratic

• Exponential and Logarithmic

• Trigonometric and Hyperbolic

• Polynomial and Rational

Which base is used for the exponential function in the video?

• Base 2

• Base 5

• Base 4

• Base 3

What is the value of 2 to the power of -3?

• 1

• 0.5

• 0.25

• 0.125

What is the value of 2 to the power of 0?

• Undefined

• 0

• 2

• 1

What shape does the graph of an exponential function typically have?

• Linear

• Exponential curve

• Parabolic

• Hyperbolic

What is the relationship between the exponential and logarithmic functions discussed?

• They are both linear

• They are unrelated

• They are inverses

• They are identical

How do you calculate log base 2 of a number using a calculator?

• Divide the number by 2

• Multiply the number by 2

• Use the formula: log(number) / log(2)

• Use the formula: log(2) / log(number)

What is the value of log base 2 of 8?

• 1

• 4

• 2

• 3

What is the value of log base 2 of 1?

• 0

• 1

• 2

• 3

What is the general shape of a logarithmic function graph?

• Logarithmic curve

• Circular

• Parabolic

• Linear