Modulus Function and Inequalities

The video tutorial covers the concept of functions, explaining that a function must have only one image for each object. It discusses the domain, codomain, and range of a relation, and how to express relations using function notation. The modulus function is introduced, with examples of finding specific values. The tutorial also covers the range of functions and solving inequalities, emphasizing the importance of understanding these mathematical concepts.

What is a key characteristic of a function?

• Each object can have multiple images.

• Each object can have only one image.

• Each image can have multiple objects.

• Each image can have only one object.

In a function, what is the domain?

• The set of all possible objects.

• The set of all possible outputs.

• The set of all possible images.

• The set of all possible inputs.

How does the range differ from the codomain?

• Range includes all possible outputs, codomain includes all possible inputs.

• Range includes all possible inputs, codomain includes all possible outputs.

• Range is the set of actual outputs, codomain is the set of potential outputs.

• Range is the set of potential outputs, codomain is the set of actual outputs.

What is the relation between set A and set B in function notation?

• f(x) = x^2

• f(x) = x - 1

• f(x) = x/2

• f(x) = x + 1

What is the modulus function's domain in the given example?

• From -5 to 5

• From 0 to 10

• From 0 to 5

• From -10 to 10

What is the value of t when x = 5 in the modulus function?

• t = 3

• t = 6

• t = 5

• t = 4

What is the range of the modulus function based on the given domain?

• From 0 to 6

• From 0 to 5

• From 0 to 4

• From 0 to 10

What is the minimum value of f(x) in the modulus function?

• 3

• 2

• 1

• 0

What is the maximum value of f(x) in the modulus function?

• 4

• 5

• 6

• 7

What is the solution for x in the inequality 2x - 4 < 4?

• x > 4

• x < 4

• x > 0

• x < 0