Algebra/Other Types of Graphs
Sample Graphs of Various Functions and Relations edit
y = |x|
y = x2
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
polynomials
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
asymptotes
inverse functions (to be originally introduced in Functions, graphing aspects covered here)
circles
ellipses
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
References:
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.
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.
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.