![]() International Technology and Engineering Educators Association - Technology Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. The graph of f is the graph of the equation y = f(x). If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Understand that a function is a rule that assigns to each input exactly one output. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.įind and position integers and other rational numbers on a horizontal or vertical number line diagram find and position pairs of integers and other rational numbers on a coordinate plane. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Explain how understanding graphing will help with solving the challenge.Determine the domain and range of a set of points.Explain what a function is and how to tell if a set of coordinates is a function.Describe the naming convention for coordinates in the form (x, y).Explain the source of the name "Cartesian.".Describe the Cartesian plane and correctly label its parts.In journal questions 1-5 (in the Assessment section), students consider the importance of creating visual representations of data, as well as possible data sources.Īfter this lesson, students should be able to: For example, civil engineers must understand graphing to be able to determine certain areas of stresses and strain within the building plans for bridges and other structures. Graphing is essential to understanding the mathematics involved in all types of engineering. Many important engineering relationships are easily understood in the form of graphs. Then students learn about what it means for a relation to be a function and how to determine domain and range of a set of data points from the modeling game found in the associated activity. A brief refresher on the Cartesian plane includes how points are written in (x, y) format and oriented to the axes, and which directions are positive and negative.
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