Brian McLogan
Graph a reciprocal function and determine the limits of the vertical asymptotes
👉 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
Find the Domain from the Composition of Two Functions
Learn how to compose two functions where one or both of those functions is/are radical. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
"When" Is the graph increasing decreasing constant?
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function....
Brian McLogan
What is the Domain Range and Vertical Asymptote of Secant
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Brian McLogan
Master How to determine the intervals that a function is increasing, decreasing or constant
Master How to determine the intervals that a function is increasing, decreasing or constant.Timestamps: 0:00 Intro 1:06 Example #1 2:56 Example #2 3:56 Example #3 4:55 Example #4 Corrections: 1:48 Increasing interval is from negative...
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
Determining end behavior and degrees of a polynomial graph
👉 Learn how to determine the end behavior of a polynomial function from the graph of the function. To do this we look at the endpoints of the graph to see if it rises or falls as the value of x increases. If the graph of the polynomial...
Brian McLogan
Learn how to graph an exponential function with reflection & horizontal shift
👉 Learn how to graph exponential functions involving horizontal 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...
Brian McLogan
Learn how to find sketch the graph of an exponential functions
👉 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
Identify transformations, graph and determine domain and range radical function
👉 Learn how to graph the square root function. Like other functions, to graph the square root function, we first graph the parent function (i.e the graph of f(x) = square root of x) and then we apply the required transformations to the...
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...
Australian Broadcasting Corporation
Elevator Pitch - What's the Opposite of Infinity?
What is infinity? What's the opposite of infinity? Mathematician Dr Sophie Calabretto tries to explain it in three minutes.
Brian McLogan
Learn How to Graph the Secant Function with a Change in Period
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Graph the secant function with a phase shift
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Transformations of the tangent function
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Brian McLogan
Composing Two Functions Then Determining the Domain in Interval Notation
Learn how to compose two functions where one or both of those functions is/are radical. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
Math tutorial for graphing an exponential function
👉 Learn how to graph exponential functions involving horizontal 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...
Brian McLogan
Multiply a radical and rational function then determine the domain
👉 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...
Brian McLogan
Multiply a quadratic equation by a square root function to determine domain
👉 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...
Brian McLogan
Multiply a radical function by the reciprocal function to determine the domain
👉 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...
Brian McLogan
How to determine the domain and range of three graphs
Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...
Brian McLogan
Graph the parent graph then transform it based on the function, y = -2^(x-3)
👉 Learn how to graph exponential functions involving horizontal 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...
Brian McLogan
Graphing a absolute value equation with horizontal shift
👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...