Algebra/Other Types of Graphs

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 ← Compound and Absolute Value Inequalities Other Types of Graphs Polynomials → 

Sample Graphs of Various Functions and Relations[edit]

Absolute Value Function.PNG            y = |x|

Function x^2.svg            y = x2

Y=1divided by x.PNG            y = 1/x

y =x      y = -x      y = |x|      y=-|x|      y=x2      y=-x2      y=x3      y = 1/x      y=-1/(x-1)

y=x! other functions and relations in other sections

inequalities parabolas y=(10 or e) to the x y = log x


cubics and squares

what this means is that the graphs of y = x^N(even) and y = x^N (odd) will always look in certain ways.

Second Graphing section: translations symmetries +/- inversions inverse relations ellipse circle square roots inequalities of these

Other functions and relations

Symmetry about: x-axis y-axis y=x y=-x

Translation (shift) in x and y directions

stretching about x-axis or y-axis


inverse functions (to be originally introduced in Functions, graphing aspects covered here)



inequalities in non-linear relations

stretching relations about x or y axes

Newton's method

Given 0=x^a y^b + x^c y^d etc, can deduce asymptotes/intersects from smallest polygon containing points (a,b) (c,d) etc


1. ELEMENTARY GEOMETRY for College Students, 2nd Edition, by Daniel Alexander and

Geralyn Koeberlein, Houghton Mifflin Company, Boston, MA 1999.

2. ALGEBRA AND TRIGONOMETRY with Analytic Geometry, Ninth Edition, by Earl Swokowski

and Jeffery Cole, Brooks/Cole Publishing Company 1997.
The same data plotted using a pie chart and a bar chart.

Pie Chart[edit]

Pie charts are best used to compare parts to the whole by percentages. By measuring the number of degrees that a piece of the pie chart is, one can find the percentage it represents.

\mbox{degrees} = \mbox{percent} \cdot\frac{360}{100}

which simplifies to degrees * 18 / 5

Bar Chart[edit]

Bar charts are best for plotting the change in something over a period of time. It is nearly the same as a line chart, except that the points are not connected, and instead extend to the bottom of the chart.