MathsDomain and Range of a Function – Detailed Explanation and FAQs

Domain and Range of a Function – Detailed Explanation and FAQs

Introduction to Domain of a Function

A function is a set of ordered pairs, where each element in the set corresponds to a unique output. The domain of a function is the set of all input values for which the function produces a result. The range of a function is the set of all output values for which the function produces a result.

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    Domain and Range of Trigonometric Functions

    Domain: The domain of a trigonometric function is the set of all real numbers for which the function produces a valid result.

    Range: The range of a trigonometric function is the set of all real numbers for which the function produces a valid result.

    Domain of Sin Inverse x

    The domain of sin inverse x is the set of all real numbers x for which sin inverse x equals 1. This set is a subset of the set of all real numbers. The domain of sin inverse x can be visualized as a graph with the x-axis representing all real numbers and the y-axis representing the value of sin inverse x. The domain of sin inverse x is a curve that starts at the origin and rises to a peak at x = 1. The curve then falls back to the origin.

    Domain and Range of a Graph

    Domain: The domain of a graph is the set of all points in the plane that can be connected to the graph.

    Range: The range of a graph is the set of all points in the plane that can be reached from the graph.

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