Representation Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
A function ff triples its input. Represent ff as (a) a formula, (b) a table for inputs {1,2,3,4}\{1,2,3,4\}, (c) a verbal description.

Solution

  1. 1
    (a) Formula: f(x)=3xf(x) = 3x.
  2. 2
    (b) Table: x=1→3x = 1 \to 3; x=2→6x = 2 \to 6; x=3→9x = 3 \to 9; x=4→12x = 4 \to 12.
  3. 3
    (c) Verbal: 'The output is three times the input.'

Answer

f(x)=3xf(x) = 3x
Functions can be represented in multiple forms: formula, table, graph, or words. Each form is useful in different contexts — tables for discrete data, formulas for computation, words for communication.

About Representation

A mathematical representation is any format — diagram, equation, table, graph, or symbolic expression — used to encode and communicate a mathematical idea or relationship between quantities.

Learn more about Representation →

More Representation Examples

Example 1 easy

Represent the set [formula] with [formula] and [formula] using three different representations: (1)

Example 2 medium

The inequality [formula] can be represented as an absolute value inequality, a compound inequality,

Example 3 easy

Write the solution set of [formula] in (a) roster notation, (b) set-builder notation.

← All Representation Examples Representation Concept