How do you represent a function?

Functions are usually represented by a function rule where you express the dependent variable, y, in terms of the independent variable, x. A pair of an input value and its corresponding output value is called an ordered pair and can be written as (a, b).

What type of graphs represent a function?

Vertical Line test: If any vertical line intersects a graph at exactly one point then the graph represents a function otherwise not. Looking into the graphs, the vertical line intersects the graph D at only one point. Hence, graph D represents a function.

What are the five 5 ways of representing a function?

Key Takeaways

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.

What are 4 different ways to represent a function?

1.1: Four Ways to Represent a Function

Determining Whether a Relation Represents a Function.
Using Function Notation.
Representing Functions Using Tables.
Finding Input and Output Values of a Function.
Evaluating Functions Expressed in Formulas.
Evaluating a Function Given in Tabular Form.
Finding Function Values from a Graph.

How do you represent rational function using graph?

Process for Graphing a Rational Function

Find the intercepts, if there are any.
Find the vertical asymptotes by setting the denominator equal to zero and solving.
Find the horizontal asymptote, if it exists, using the fact above.
The vertical asymptotes will divide the number line into regions.
Sketch the graph.

What are the 4 different types of representations of a function?

Note We will typically represent related data in four ways or from four viewpoints. Numerically (using a chart or table of data) • Graphically (using a scatter plot or continuous graph) • Verbally (using a word description) • Algebraically (using a mathematical model).

Which relation represents a function?

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

What are the three basic ways to represent a function?

How to represent a function There are 3 basic ways to represent a function: (1) We can represent a function with a data table. (2) We can draw a picture, or graph, of a function. (3) We can write a compact mathematical representation of a function in the form of an equation.

How do you represent function using equation?

The notation y=f(x) defines a function named f. This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y, or f(x), represents the output value, or dependent variable.

How do you represent a rational function equation?

A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero.