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Algebra

domain and range of partial sine function

How to Find the Range of a Function?

The range of a function can be found by graphing the function and identifying all values of y that are ... Read more

Categories Algebra
Mapping of a one-to-one function

Mappings of Functions (Two cases)

For a mapping to be a function, we can have two cases. The first occurs when the mapping is one-to-one ... Read more

Categories Algebra
Graph of straight line with streches in x and y axes

Stretches and Compressions of Functions with Examples

The transformation of a function allows us to make modifications to its graph. One of these transformations is the stretching ... Read more

Categories Algebra
Graph of straight line with reflexion in x and y axes

Reflection of Functions over the x-axis and y-axis

The transformation of functions is the changes that we can apply to a function to modify its graph. One of ... Read more

Categories Algebra
Graph of straight line with horizontal transformation

Horizontal and Vertical Translation of a Function with Examples

The horizontal and vertical translation is a transformation that allows us to modify the graph of the original function. Given ... Read more

Categories Algebra
Graph of a quadratic function with vertical transformation

Transformations of Graphs of Functions

There are several transformations that we can apply to functions to modify their graphs. We can apply a vertical translation ... Read more

Categories Algebra
Quadratic inequalities

Quadratic Inequalities - Examples and Practice

Quadratic inequalities have the form ax²+bx+c>0, where the inequality signs used are <, >, ≤ and ≥. To solve quadratic ... Read more

Categories Algebra
Systems of equations with no solutions

Systems of Equations with No Solution, Infinite Solutions

Systems of equations are a set of two or more equations with two or more variables. To find the solution ... Read more

Categories Algebra
linear systems of equations

Solving Systems of Equations by Elimination

A system of equations consists of two or more equations with two or more variables, all of which share the ... Read more

Categories Algebra
linear systems of equations

Solving Systems of Equations by Substitution

Systems of equations are simultaneous equations that share the same solutions. We can solve systems of two equations with two ... Read more

Categories Algebra
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