MAT.126 P.1

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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