MAT.126
P.1 Graphs and Models

Sketch the graph of an equation

Forms of Representation

Analytical

Expression, Function, or Equation

Numerical

Table of Values

Graphical

Graph

Verbal

Point Plotting

Calculator

Functions

Tables

Graphs

Find the intercepts of a graph

x-intercepts

y-intercepts

Calculator

Find the points of intersection of two graphs

Sketch a graph

Solve the equations simultaneously

Calculator

Interpret mathematical models for real-life data

Accurate

Simple

Calculator

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

wrt y-axis

r

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.

wrt x-axis

r

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 origin

r

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.

Polynomials

r

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

Intercepts + Symmetry