Instructional Video4:48
Brian McLogan

When do we have an oblique, slant asymptote for a rational function

12th - Higher Ed
👉 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...
Instructional Video2:48
Brian McLogan

What is the horizontal asymptote test

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 Video4:52
Brian McLogan

Solving a rational expression by multiplying the LCD on both sides of the equation

12th - Higher Ed
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Instructional Video1:27
Brian McLogan

Solving a rational Equation

12th - Higher Ed
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Instructional Video2:18
Brian McLogan

Complete Simplifying Rational Expressions

12th - Higher Ed
Learn about simplifying rational expressions. A rational expression is an expression in the form of a fraction. To simplify a rational expression is to put the expression in a simplified form i.e. cancel out common factors, etc. When...
Instructional Video6:21
Brian McLogan

How to use the rational zero test to determine all possible rational zeros

12th - Higher Ed
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Instructional Video3:00
Brian McLogan

The easy way to determine the lcd of two rational expressions and use it to find the sum

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 Video16:05
Curated Video

Exploring Rational Exponents and Nth Roots

9th - 12th
This lesson will provide instruction to find nth roots and evaluate expressions with rational exponents. I will deomonstrate and explain how to rewrite fractional exponents in radical from as well as how to rewrite radical form to...
Instructional Video3:36
Brian McLogan

How to determine the product of two rational expressions

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 Video2:30
Brian McLogan

How to determine if the discontinuities are holes or asymptotes

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 Video3:02
Brian McLogan

Find the Slant and Vertical Asymptotes of a Rational Function

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 Video1:34
Brian McLogan

Factoring with the difference of two squares to simplify a rational expression

12th - Higher Ed
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor...
Instructional Video1:51
Brian McLogan

Factoring out the GCF to simplify the rational expression

12th - Higher Ed
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor...
Instructional Video3:29
Brian McLogan

Using law of sines with no solution Ambiguous case

12th - Higher Ed
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions and...
Instructional Video8:54
Brian McLogan

Solving a rational equation by factoring

12th - Higher Ed
👉 Learn how to solve 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 expressions, one...
Instructional Video3:05
Brian McLogan

Learn to simplify a rational expression

12th - Higher Ed
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor...
Instructional Video3:58
Brian McLogan

Dividing two rational expressions by combining expressions

12th - Higher Ed
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Instructional Video3:38
Brian McLogan

Learn to graph the reciprocal function with transformations

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 Video3:19
Brian McLogan

Combining rational expression with unlike denominators

12th - Higher Ed
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Instructional Video2:38
Brian McLogan

Learn to find all of the 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 Video6:42
Brian McLogan

Asymptotes and solution points to graph a rational function

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 Video1:46
Brian McLogan

Simplifying complex fractions

12th - Higher Ed
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Instructional Video4:04
Brian McLogan

Simplifying complex fractions

12th - Higher Ed
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Instructional Video1:13
Brian McLogan

Label the discontinuity of a rational functions with coefficients

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...