Algebra

1. Algebra By: Pedro Cuellar ONLY!

2. The Golden Rule • Whatever you do to one you do to the other.

3. Absolute Value

4. Functions • FunctionsQuestions on Functions (with Solutions). Several questions on functions are presented and their detailed solutions discussed. Linear Functions. A tutorial to explore the graphs, domains and ranges of linear functions. Square Root Functions. Square root functions of the form f(x) = a SQRT(x - c) + d and the characteristics of their graphs such as domain, range, x intercept, y intercept are explored interactively. Cube Root Functions. Cube root functions of the form f(x) = a (x - c) 1/3 + d and the properties of their graphs such as domain, range, x intercept, y intercept are explored interactively using an applet. Cubing Functions. Graphs of the cubing functions of the form f(x) = a (x - c) 3 + d as well as their properties such as domain, range, x intercept, y intercept are explored interactively using an applet. Graph, Domain and Range of Common Functions. A tutorial using a large window applet to explore the graphs, domains and ranges of some of the most common functions used in mathematics. Quadratic Functions (general form). Quadratic functions and the properties of their graphs such as vertex and x and y intercepts are explored interactively using an applet. Quadratic Functions(standard form). Quadratic functions in standard form f(x) = a(x - h) 2 + k and the properties of their graphs such as vertex and x and y intercepts are explored, interactively, using an applet. The Product of two Linear Functions Gives a Quadratic Function. This property is explored interactively using an applet. Even and Odd Functions. Graphical, using java applet, and analytical tutorials on even and odd functions. Periodic Functions. Use java applet to explore periodic functions. Definition of the Absolute Value. The definition and properties of the absolute value function are explored interactively using an applet. The properties of basic equations and inequalities with absolute value are included. Absolute Value Functions. Absolute value functions are explored, using an applet, by comparing the graphs of f(x) and h(x) = |f(x)|. Exponential and Logarithmic FunctionsExponential Functions. Exponential functions are explored, interactively, using an applet. The properties such as domain, range, horizontal asymptotes, x and y intercepts are also investigated. The conditions under which an exponential function increases or decreases are also investigated. Find Exponential Function Given its Graph.It is a tutorial that complements the above tutorial on exponential functions. A graph is generated and you are supposed to find a possible formula for the exponential function corresponding to the given graph. Logarithmic Functions. An interactive large screen applet is used to explore logarithmic functions and the properties of their graphs such domain, range, x and y intercepts and vertical asymptote. Gaussian Function. The Gaussian function is explored by changing its parameters. Logistics Function. The logistics function is explored by changing its parameters and observing its graph. Compare Exponential and Power Functions. Exponential and power functions are compared interactively, using an applet. The properties such as domain, range, x and y intercepts, intervals of increase and decrease of the graphs of the two types of functions are compared in this activity

5. Funny Symbols (follow directions!) • Do not be afraid of a four leaf clover symbol, @, and ! The questions that contain these symbols are there to test how well you follow directions. The symbols do not have any meaning. You have four answer choices plug them into the equation!