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Brian McLogan
Determining the possible rational zeros by putting p over q
👉 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...
Brian McLogan
Dividing two functions so that we can determine the domain
👉 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...
Brian McLogan
Graphing a reciprocal function with transformations
👉 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...
Brian McLogan
Factor a polynomial expression completely over real numbers
Learn how to factor higher order trinomials. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break...
Brian McLogan
Overview Zeros of a functions - Online Math Tutor - Free Math Videos
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Brian McLogan
What does a logarithmic graph look like
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Determine the domain and range of a quadratic by rewriting in vertex form
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Characteristics of Functions | Functions | Pre-Calculus
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.
Curated Video
How to Graph and Describe an Exponential Function
In this video lesson, I will define and explain exponential equations. Students will learn to distinguish between linear and exponential equations. Reviewing that a linear function has a pattern of repeated addition, and an exponential...
Curated Video
Graphing Quadratic Functions and Transformations
In this lesson, we will learn how to graph quadratic functions in the form F of X equals ax squared. We will review vocabulary, characteristics of quadratic functions, and two transformations: vertical shrink and vertical stretch. We...
Brian McLogan
How to graph an exponential equation with a table of values
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
How to determine the domain of three different parent functions
Learn how to identify the domain and range of functions from equations. To do this we will need to sketch the graph of the equation and then determine how low and how high the graph travels for the range and how far left and how far...
Brian McLogan
How to factor a trinomial completely over real numbers
Learn how to factor higher order trinomials. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break...
Brian McLogan
Steps to find the implied DOMAIN of a function
In this video we will explore how to identify the domain of a function using the restrictions, you cannot divide by zero and take the square root of a negative number. We will work through 15 different examples Timestamps: 0:00 Intro...
Brian McLogan
More and More Examples of Rational Functions
👉 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...
Curated Video
How to Classify Real Numbers
This lesson reviews key vocabulary of real numbers. A Venn Diagram is used to classify real numbers. You will learn how to use vocabulary words - whole, integer, rational, irrational and real to classify numbers.
Grade 8...
Grade 8...
Brian McLogan
What do you need to know to combine complex numbers
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...
Brian McLogan
What can we learn from a quadratic in vertex form, y = -3(x - (1/2))^2 - 5
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
Brian McLogan
My TIPS to find the implied DOMAIN of a function
In this video I will work through my favorite tips you will want to know to understand how to find the domain of a function algebraically. 00:00 intro 00:17 Difference Between Included and Excluded 02:31 Know your Graphs 04:23 Know your...
Curated Video
Classifying Real Numbers
In this video lesson we will learn how to identify numbers as real, irrational, rational, integer and whole. We will review the definitions of each of the sets of numbers and understand how to use what we know to classify values. We...