Instructional Video0:47
Brian McLogan

How to determine the domain of a rational function (no sound)

12th - Higher Ed
👉 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...
Instructional Video3:52
Brian McLogan

Graphing a rational function with discontinuity

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video14:48
Brian McLogan

More and More Examples of Rational Functions

12th - Higher Ed
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video3:35
Brian McLogan

Determining the product of two rational expressions by simplifying the product

12th - Higher Ed
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Instructional Video1:02
Brian McLogan

How to solve a basic rational expression with x in the denominator twice

12th - Higher Ed
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Instructional Video1:58
Brian McLogan

How to find the vertical and horizontal asymptotes of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video4:48
Brian McLogan

Graph a reciprocal function and determine the limits of the vertical asymptotes

12th - Higher Ed
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Instructional Video2:51
Brian McLogan

What is the division property for rational expressions

12th - Higher Ed
What is the division property for rational expressions
Instructional Video16:08
Brian McLogan

Multiple Examples on determining the asymptotes of rational functions

12th - Higher Ed
Multiple Examples on determining the asymptotes of rational functions
Instructional Video1:44
Brian McLogan

How to divide two functions and create your constraint

12th - Higher Ed
👉 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...
Instructional Video1:13
Brian McLogan

How to divide polynomials with constraint

12th - Higher Ed
👉 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...
Instructional Video2:32
Brian McLogan

Multiply a radical and rational function then determine the domain

12th - Higher Ed
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Instructional Video4:35
Brian McLogan

Finding and graphing the vertical and horizontal asymptotes

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video5:09
Brian McLogan

What is the reciprocal function

12th - Higher Ed
👉 Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For...
Instructional Video2:42
Brian McLogan

What are the restrictions we put on a rational expression

12th - Higher Ed
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Instructional Video2:35
Brian McLogan

What are rational expressions

12th - Higher Ed
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Instructional Video3:45
Brian McLogan

Multiplying two rational terms by simplifying

12th - Higher Ed
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Instructional Video8:49
Brian McLogan

Graphing the reciprocal identity with a removable discontinuity

12th - Higher Ed
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Instructional Video10:50
Brian McLogan

Graph a rational function with vertical and oblique asymptotes

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video1:48
Brian McLogan

How to find the Asymptotes and Intercepts of a Rational Function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video2:08
Brian McLogan

Identify any horizontal or vertical asymptotes of a rational function

12th - Higher Ed
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Instructional Video2:27
Brian McLogan

Discontinuities and domain of rational functions

12th - Higher Ed
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Instructional Video6:59
Brian McLogan

How to graph the reciprocal function and identify the characteristics

12th - Higher Ed
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Instructional Video11:41
Brian McLogan

Graphing a rational function with low sound sorry

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...