Domains and Ranges of Functions

The video tutorial covers various mathematical functions, including linear, trigonometric, logarithmic, and hyperbolic functions. It explains their domains and ranges, using graphs to illustrate these concepts. The tutorial also discusses the unit circle and the importance of understanding asymptotes in logarithmic and hyperbolic functions.

What is the domain of the function y = x + 3?

• x = 3

• x < 0

• x > 0

• All real numbers

For the function y = x + 3, what is the range?

• y > 3

• y = 3

• All real numbers

• y < 3

What is the range of the sine function?

• Between -1 and 1, inclusive

• Between -1 and 0

• All real numbers

• Between 0 and 1

What is the domain of the sine function?

• x = 0

• All real numbers

• x < 0

• x > 0

What is the domain of a logarithmic function?

• x = 0

• All real numbers

• x < 0

• x > 0

What is the range of a logarithmic function?

• All real numbers

• y < 0

• y > 0

• y = 0

What is the domain of the unit circle?

• x < -1

• Between -1 and 1, inclusive

• All real numbers

• x > 1

What is the range of the unit circle?

• y > 1

• Between -1 and 1, inclusive

• All real numbers

• y < -1

What is the domain of a hyperbola?

• All real numbers except x = 0

• x = 0

• x > 0

• x < 0

What is the range of a hyperbola?

• y > 0

• All real numbers except y = 0

• y < 0

• y = 0