introduction to functions

Verbal Representation: This representation describes a function using words or a verbal description. For example, a verbal representation could state that "the output is twice the input value." Numerical Representation: In this representation, a function is represented using a table of input-output pairs. Each input value is associated with its corresponding output value. For example, a numerical representation could be a table showing the input values 1, 2, 3 and their respective output values 2, 4, 6. Graphical Representation: Graphical representation involves plotting the input-output pairs on a coordinate plane. The input values are plotted on the horizontal axis (x-axis), and the output values are plotted on the vertical axis (y-axis). The points are then connected to form a graph. Graphs help visualize the behavior of functions and identify patterns and trends. Algebraic Representation: Algebraic representation involves expressing the function using an algebraic equation or formula. The equation may involve variables, constants, and mathematical operations. For example, an algebraic representation of a function could be expressed as f(x) = 2x, which indicates that the output (f(x)) is equal to twice the input (x).