カテゴリー 全て - models - graphs - polynomials - functions

によって David Kedrowski 14年前.

188

MAT.126 P.1

The text discusses various methods and concepts involved in graphing mathematical equations, emphasizing the importance of accurately representing data through different forms such as graphs, tables, and analytical expressions.

MAT.126 P.1

MAT.126 P.1 Graphs and Models

Test a graph for symmetry with respect to an axis and the origin

Intercepts + Symmetry
Polynomials

wrt y-axis if each term has an even exponent (a constant has exponent zero so is even)

wrt origin if each term has an odd exponent

wrt origin

Whenever (x,y) is a point on the graph, (-x,-y) is also a point on the graph.

Replacing x by -x and y by -y yields an equivalent equation.

wrt x-axis

Whenever (x,y) is a point on the graph, (x,-y) is also a point on the graph.

Replacing y by -y yields an equivalent equation.

wrt y-axis

Whenever (x,y) is a point on the graph, (-x,y) is also a point on the graph.

Replacing x by -x yields an equivalent equation.

Interpret mathematical models for real-life data

Simple
Accurate

Find the points of intersection of two graphs

Solve the equations simultaneously
Sketch a graph

Find the intercepts of a graph

y-intercepts
x-intercepts

Sketch the graph of an equation

Calculator
Graphs
Tables
Functions
Point Plotting
Forms of Representation
Verbal
Graphical

Graph

Numerical

Table of Values

Analytical

Expression, Function, or Equation