Difference between revisions of "Math 22 Graph of Equation"

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==Intercepts of a Graph==
 
==Intercepts of a Graph==
 
Some solution points have zero as either the <math>x</math>-coordinate or the <math>y</math>-coordinate. These points are called intercepts because they are the points at which the graph intersects the <math>x</math>- or <math>y</math>-axis.
 
Some solution points have zero as either the <math>x</math>-coordinate or the <math>y</math>-coordinate. These points are called intercepts because they are the points at which the graph intersects the <math>x</math>- or <math>y</math>-axis.
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  To find <math>x</math>-intercepts, let <math>y</math> be zero and solve the equation for <math>x</math>.
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  To find <math>y</math>-intercepts, let <math>x</math> be zero and solve the equation for <math>y</math>.
  
  
 
'''This page were made by [[Contributors|Tri Phan]]'''
 
'''This page were made by [[Contributors|Tri Phan]]'''

Revision as of 06:51, 13 July 2020

The Graph of an Equation

The graph of an equation is the set of all points that are solutions of the equation.

In this section, we use point-plotting method. With this method, you construct a table of values that consists of several solution points of the equation

For example, sketch the graph of . We can construct the table below by plugging points for .

x 0 1 2 3
y=2x+1 1 3 5 7

So, we can sketch the graph from those order pairs.

Graph 1.2.png

Intercepts of a Graph

Some solution points have zero as either the -coordinate or the -coordinate. These points are called intercepts because they are the points at which the graph intersects the - or -axis.

 To find -intercepts, let  be zero and solve the equation for .
 
 To find -intercepts, let  be zero and solve the equation for .


This page were made by Tri Phan