How does the reciprocal function relate to the other basic functions

The video tutorial covers the reciprocal function, its characteristics, and its domain and range. It explains the concept of asymptotes and how they relate to the function's graph. The tutorial also discusses the transformations of the reciprocal function, providing a comprehensive understanding of its behavior and properties.

What is the mathematical form of the reciprocal function introduced in the video?

• f(x) = 1/x

• f(x) = log(x)

• f(x) = x^2

• f(x) = x + 1

Which characteristic of the reciprocal function makes it different from continuous functions?

• It is defined for all real numbers.

• It has two continuous parts.

• It is continuous everywhere.

• It has a constant slope.

What is an asymptote in the context of the reciprocal function?

• A line that the graph crosses frequently.

• A point where the function is zero.

• A line that the graph approaches but never touches.

• A point where the function is maximum.

For the reciprocal function, what is the domain?

• All real numbers except x cannot equal 0.

• All positive numbers only.

• All negative numbers only.

• All real numbers.

What is the range of the reciprocal function?

• All real numbers.

• All positive numbers only.

• All real numbers except y cannot equal 0.

• All negative numbers only.

What is the significance of the value '0' in the context of the reciprocal function's domain and range?

• It is the value where the function is zero.

• It is the value where the function is undefined.

• It is where the function is minimum.

• It is where the function is maximum.

Which transformation formula is used for the reciprocal function?

• f(x) = a * log(x) + b

• f(x) = a * 1/(x - h) + k

• f(x) = a * x + b

• f(x) = a * x^2 + b