Define the following terms. Write it on your notebook
1. Relation
2. Function
3. Domain
4. Range
5. One to one relation
6. One to many relation
7. Many to one relation
8. Many to Many relation
9. Vertical line test
10. Polynomial function
11. Linear function
12 Quadratic function
13. Cubic function
14. Constant function
15. Monomial
16. Binomial
17. Trinomial
18. Set
Answer (1)
1. Relation A set of ordered pairs that associates elements from one set to elements of another.2. Function A relation where each input (domain) has exactly one output (range).3. Domain The set of all possible input values for a function.4. Range The set of all possible output values of a function.5. One-to-One Relation A relation where each input corresponds to a unique output, and no two inputs share the same output.6. One-to-Many Relation A relation where one input is related to multiple outputs.7. Many-to-One Relation A relation where multiple inputs correspond to the same output.8. Many-to-Many Relation A relation where multiple inputs can correspond to multiple outputs.9. Vertical Line Test A visual test to determine if a graph represents a function; if any vertical line crosses the graph more than once, it is not a function.10. Polynomial Function A function made up of terms consisting of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.11. Linear Function A polynomial function of degree 1, with the form [tex]\( f(x) = mx + b \)[/tex].12. Quadratic Function A polynomial function of degree 2, with the form [tex]\( f(x) = ax^2 + bx + c \)[/tex].13. Cubic Function A polynomial function of degree 3, with the form [tex]\( f(x) = ax^3 + bx^2 + cx + d \).[/tex]14. Constant Function A function where the output value is the same for all inputs, [tex]\( f(x) = c \)[/tex].15. Monomial A polynomial with only one term, e.g., [tex]\( 5x^3 \)[/tex].16. Binomial A polynomial with two terms, e.g., [tex]\( 3x + 4 \)[/tex].17. Trinomial A polynomial with three terms, e.g., [tex]\( x^2 + 5x + 6 \)[/tex].18. Set A collection of distinct objects or elements, usually enclosed in curly braces [tex]\(\{\}\)[/tex].
