In this video I am going to highlight the top ten types of functions that students make mistakes with when finding the domain and range

In this video, we solve rational inequalities by finding critical values and using test points.

This video explains the role of the activation function, which is an interesting phenomenon in the design of neural networks.
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This clip is from the chapter "Artificial Neural Networks" of the series "Fundamentals in Neural...

This video introduces the basic procedures to successfully graph a piece wise defined function. The video covers 4 types of restrictions that can be applied to a functions domain. In addition, the video covers 4 examples that guides you...

⭐ Rules of absolute values inequalities -    • Rules of absolute values inequalities  

⭐ Easy absolute inequalities -    • Easy Absolute Inequalities | Solve an
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✅ Equations and Inequalities in Algebra 2 -...

This chapter introduces the concept of “pivot columns” and shows how they can be used to determine whether a system of linear equations has a single unique solution, no solutions, or infinitely many solutions, simply by looking at the...

In this lesson, students will learn how to describe the end behavior of polynomial and exponential functions. They will understand that for polynomial functions, the end behavior is determined by the leading term, while for exponential...

In this lesson, students will learn how to determine which of two polynomial functions eventually exceeds the other by comparing their degrees. By understanding the end behavior of polynomial functions and analyzing the leading terms,...

In this video, we explore the concept of end behavior in polynomials. We learn that the behavior of a polynomial as x approaches positive or negative infinity depends on the degree and leading coefficient of the polynomial. We examine...

In this lesson, students will learn how to write a rule for a nonlinear function by recognizing patterns. They will explore linear and nonlinear functions, identifying common differences and patterns in tables of values. Through examples...

In this video, the teacher explains how to determine the end behavior of a graph by analyzing its equation. They discuss power functions with even and odd exponents, and how the graphs change as the exponent increases. The teacher also...

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions,...

👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...

Postulates of Quantum Mechanics: Expectation Values

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...

Postulates of Quantum Mechanics: Orthogonality of Wavefunctions

👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...

Postulates of Quantum Mechanics: Hermitian Operators 1

👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate...