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Baliabideak > precalculus

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Graphing Holes

"Rational functions have points where they are undefined, which introduces us to graphing holes in the function. Graphing holes involves being able to find these points. A rational function is a quoti ...

Graph Symmetry

"There are special types of functions that have graph symmetry. The most notable types are even and odd functions. Even functions have graph symmetry across the y-axis, and if they are reflected, will ...

Square Matrix Inverse

"We use the identity matrix to calculate a square matrix inverse. In order to be invertible, a matrix must be square, and by finding the square matrix inverse, we can find the solution of a system of ...

Square Matrices

"When we are learning about matrices and matrix operations, one of the first things we need to learn about are square matrices. Square matrices have many applications in the real world. Square matrice ...

Geometric Series

"We can use what we know of geometric sequences to understand geometric series. A geometric series is a series or summation that sums the terms of a geometric sequence. There are methods and formulas ...

Geometric Sequences

"A list of numbers that follows a rule is called a sequence. Sequences whose rule is the multiplication of a constant are called geometric sequences, similar to arithmetic sequences that follow a rule ...

Geometric Representation of Vectors

"When introduced to vectors for the first time, learning the geometric representation of vectors can help students understand their significance and what they really mean. The geometric representation ...

Solving Trigonometric Equations

"When solving trigonometric equations, we find all the angles that make the equation true. If there is no interval given, use periodicity to show the infinite number of solutions. Two ways to visuali ...

Finding the Domain of a Function

"Certain functions, such as rational and radical elementary functions, have instances of restricted domains. When finding the domain of a function, we must always remember that a rational function inv ...

Finding Maximum and Minimum Values

"Polynomial functions are useful when solving problems that ask us to find things like maximum income, revenue or production quantities. Finding maximum and minimum values of polynomial functions hel ...

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