Instructional Video4:48
Brian McLogan

Learn how to write the domain of a rational function using interval notation

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 Video2:51
Brian McLogan

Second derivative of a rational expression

12th - Higher Ed
👉 Learn how to find the higher derivative of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function...
Instructional Video1:40
Brian McLogan

Evaluate the limit of a rational expression by applying direct substitution

12th - Higher Ed
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Instructional Video4:18
Curated Video

Rewriting Fractions with Variables: Applying the Rules of Polynomials

K - 5th
In this video, students will learn how to rewrite fractions that include variables by applying the rules of fractions. The lesson covers simplifying polynomial expressions and understanding the process of cross-cancelling terms in the...
Instructional Video1:26
Brian McLogan

Combining rational expression with like denominators

12th - Higher Ed
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Instructional Video4:57
Curated Video

Rewriting Rational Expressions: Finding Common Factors

K - 5th
In this video, the teacher explains how to rewrite rational expressions by recognizing common factors. They provide examples and show how to think of rational expressions as division of the numerator by the denominator. The teacher also...
Instructional Video4:18
Brian McLogan

Dividing rational expressions

12th - Higher Ed
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Instructional Video5:31
Brian McLogan

Algebra 2 - How to add two rational monomials by finding the LCM ( 3y/2x^3) + (5z/8xy^2)

12th - Higher Ed
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Instructional Video1:59
Brian McLogan

Determine the values a function is undefined and write the domain

12th - Higher Ed
👉 Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Instructional Video7:50
Brian McLogan

Simplify rational expression using the rules of exponents

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Instructional Video1:47
Brian McLogan

How to find the antiderivative of a rational expression

12th - Higher Ed
👉 Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as...
Instructional Video2:01
Brian McLogan

Simplifying a radical expression when the radicand is a rational expression

12th - Higher Ed
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Instructional Video7:58
Brian McLogan

Learning the basics of the rules of exponents product quotient negative

12th - Higher Ed
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Instructional Video4:13
Brian McLogan

What do I have to know to multiply and divide rational expressions

12th - Higher Ed
Learn how to multiply/divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to multiply two fractions, we multiply the numerators...
Instructional Video4:38
Brian McLogan

How do we simplify 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 Video3:35
Brian McLogan

Solving a logarithmic equation with no solutions

12th - Higher Ed
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Instructional Video2:40
Brian McLogan

Learning how to simplify a rational expression

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Instructional Video3:29
Brian McLogan

How to simplify the root of a rational expression

12th - Higher Ed
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Instructional Video2:50:07
Brian McLogan

Full Lesson: Rational Functions

12th - Higher Ed
In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade.
Instructional Video4:27
Brian McLogan

Applying the rules of exponents when multiplying two rational expressions

12th - Higher Ed
👉 Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Instructional Video2:06
Brian McLogan

Expanding a log with a radical and division

12th - Higher Ed
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Instructional Video4:07
Brian McLogan

Verify an identity by converting to a monomial denominator

12th - Higher Ed
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Instructional Video2:46
Brian McLogan

Combining rational expression with unlike denominators

12th - Higher Ed
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Instructional Video2:03
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...