Calculus — Chapter Summary

A function is a mathematical relationship

A function is a mathematical relationship between two variables where each input (independent variable) has exactly one output (dependent variable). W

Domain is the set of all

Domain is the set of all possible input values (x-values) for which a function is defined. Range is the set of all possible output values (y-values) t

Functions are classified into various types

Functions are classified into various types: Polynomial (f(x) = anxⁿ + ... + a₁x + a₀), Exponential (f(x) = aˣ), Logarithmic (f(x) = logₐx), Modulus (

The limit of a function f(x)

The limit of a function f(x) as x approaches a value 'a' is the value that f(x) gets closer to as x gets closer to 'a'. Written as lim(x→a) f(x) = L.

A function is continuous at point

A function is continuous at point x = a if the limit of the function as x approaches 'a' equals the function's value at 'a'. Mathematically: lim(x→a⁻)