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Discrete Mathematics 1
Section 1
Unit 1 - Introduction to Discrete Mathematics
Overview of Discrete Mathematics
Sets and Relations
Functions in Discrete Mathematics
Section 2
Unit 2 - Logic and Propositional Logic
Introduction to Logic
Propositional Logic
Proof Techniques in Propositional Logic
Section 3
Unit 3 - Graph Theory
Introduction to Graph Theory
Types of Graphs
Graph Coloring
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Unit 1 • Chapter 3
Functions in Discrete Mathematics
Summary
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Concept Check
What is a function in Discrete Mathematics?
A function is a relation where some inputs have multiple outputs.
A function is a relation where each output has a unique input.
A function is a relation where all inputs have the same output.
A function is a relation where each input has a unique output.
What is the domain of a function?
The set of all possible inputs to a function.
The set of all possible outputs of a function.
The set of all possible inputs and outputs of a function.
The set of all prime numbers in a function.
What is the range of a function?
The set of all integers in a function.
The set of all possible inputs to a function.
The set of all possible outputs of a function.
The set of all possible inputs and outputs of a function.
What does it mean for a function to be surjective?
Every element in the codomain has at least one preimage.
Every element in the domain has only one image.
Every element in the domain has at least one image.
Every element in the codomain has only one preimage.
What does it mean for a function to be injective?
Each element in the codomain has multiple elements in the domain.
Each element in the domain has multiple elements in the codomain.
Each element in the codomain has a unique element in the domain.
Each element in the domain has a unique element in the codomain.
Check Correctness
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Sets and Relations