👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...

👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...

👉 Learn all about how to graph exponential functions. In this playlist, we will explore graphing exponential functions with a base e as well as with other numbers. We will graph each exponential function using transformations and then...

👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must...

👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...

In this video lesson we will learn about the Standard Form of a linear equation. We will learn that A, B, and C must be integer values and A must be positive. We will learn how to rewrite an equation in slope-intercept from into...

👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...

In this video, the teacher explains how to graph a line using intercepts. They use the example of buying hamburgers and hot dogs for lunch to demonstrate how to create an equation and graph the possible combinations. The teacher also...

In this video, the teacher explains how to write equations of lines in point slope form using a given point and slope or two given points. The video also covers how point slope form relates to slope and how to convert point slope form to...

In this video lesson we will learn how to reflect a linear function. We will also learn how to identify a reflection using a graph and how to represent a linear reflection using function notation. We will discover that a linear...

This video lesson will derive the point-slope formula and explain how and why it works. Students will learn to write a linear equation in point-slope form using slope and a point. Writing an equation from two points will also be...

👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...

In this video lesson we will review the effects of constants, h, a, and k on a linear function. We will learn that the constant h effects by transforming a function horizontally left or right. We will learn that the constant a will...

👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...

In this video lesson we will learn how to write an equation of a line in slope-intercept form. We will learn how to identify the slope and y-intercept of the graph of a line. We will review how to find the slope of a line using two...

Master Evaluating a Function for given Values

In this video I decided to record myself creating the answer key for my students that I will be providing them in school. I cover the basics of what makes up a function as well as how to mathematically describe the function.

In this video lesson, students will learn how to use function notation to create recursive formulas for sequences. The video explains the concepts of arithmetic and geometric sequences, as well as the Fibonacci sequence, and demonstrates...

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...

👉 Learn how to graph quadratic equations by completing the square. 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...

In this video we will cover how to determine the real zeros of a polynomial by factoring as well as writing the equation of a polynomial given the zeros and multiplicity. We will focus on factoring polynomials with two, three and four...

👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...

👉 Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...

👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...