A verbal description of a function is given. Find a....

A verbal description of a function is given. Find
a. algebraic,
b. numerical, and
c. graphical representations for the function.
Let $T(x)$ be the amount of sales tax charged in Lemon County on a purchase of $x$ dollars. To find the tax, take $8 \%$ of the purchase price.

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Key Concepts

Graphical Representation

A graphical representation displays the function visually by plotting its input-output pairs on a coordinate system. Graphs help illustrate the overall behavior of the function, including trends, slopes, and intercepts, making it easier to interpret and communicate the relationship between the variables.

Numerical Representation

A numerical representation of a function involves computing and listing values of the function at selected input points, often organized in a table. This approach provides concrete examples of the function's behavior and is useful for understanding how the output changes as the input varies.

Algebraic Representation

An algebraic representation expresses a function using an equation that relates the input variable to the output. This form is concise and is typically written using operations such as addition, multiplication, and exponentiation. It allows you to analyze and manipulate the function symbolically.

Function

A function is a relation that assigns each element from one set (the input) a unique element in another set (the output). Understanding functions is fundamental in mathematics because it allows you to model relationships between quantities in various forms, such as in algebra, tables, and graphs.

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