Instructional Video4:27
Brian McLogan

Graphing logarithmic equations

12th - Higher Ed
👉 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...
Instructional Video3:27
Brian McLogan

Graphing a logarithm with horizontal and vertical shift

12th - Higher Ed
👉 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...
Instructional Video15:23
Brian McLogan

Steps to find the implied DOMAIN of a function

12th - Higher Ed
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...
Instructional Video6:12
Brian McLogan

How to graph, find range, domain, vertex, and axis of symmetry from a quadratic

12th - Higher Ed
👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Instructional Video3:22
Brian McLogan

How to find the end behavior of a polynomial in factored form

12th - Higher Ed
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
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 Video4:08
Brian McLogan

What is the Domain Range and Vertical Asymptote of Secant

12th - Higher Ed
👉 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...
Instructional Video6:23
Brian McLogan

Master How to determine the intervals that a function is increasing, decreasing or constant

12th - Higher Ed
Master How to determine the intervals that a function is increasing, decreasing or constant.Timestamps:

0:00
Intro
1:06 E
xample #1
2
:56 Example #2 <
br/>3:56 Exampl

e #3
4:5
5 Example #4

Corrections:...
Instructional Video7:56
Brian McLogan

What can we learn from a quadratic in vertex form, y = -3(x - (1/2))^2 - 5

12th - Higher Ed
👉 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...
Instructional Video6:12
Brian McLogan

T Misconceptions Operations of Functions

12th - Higher Ed
T Misconceptions Operations of Functions
Instructional Video2:45
Brian McLogan

Determining end behavior and degrees of a polynomial graph

12th - Higher Ed
👉 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...
Instructional Video5:09
Brian McLogan

Learn how to graph an exponential function with reflection & horizontal shift

12th - Higher Ed
👉 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...
Instructional Video9:20
Brian McLogan

My TIPS to find the implied DOMAIN of a function

12th - Higher Ed
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...
Instructional Video12:33
Brian McLogan

Learn How to Graph the Secant Function with a Change in Period

12th - Higher Ed
👉 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...
Instructional Video9:04
Brian McLogan

Graph the secant function with a phase shift

12th - Higher Ed
👉 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...
Instructional Video3:42
Brian McLogan

Multiply a radical function by the reciprocal function to 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 Video2:06
Brian McLogan

How to determine the domain and range from a logarithmic function

12th - Higher Ed
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...
Instructional Video5:05
Brian McLogan

Graph the parent graph then transform it based on the function, y = -2^(x-3)

12th - Higher Ed
👉 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...
Instructional Video23:51
Brian McLogan

Transformations with domain and range

12th - Higher Ed
Transformations with domain and range
Instructional Video7:17
Brian McLogan

Increasing, decreasing constant intervals

12th - Higher Ed
Increasing, decreasing constant intervals
Instructional Video10:31
Brian McLogan

Master adding subtracting multiplying and dividing two functions linear and quadratic

12th - Higher Ed
Master adding subtracting multiplying and dividing two functions linear and quadratic
Instructional Video6:58
Brian McLogan

T Misconceptions with Characteristics of Functions

12th - Higher Ed
T Misconceptions with Characteristics of Functions
Instructional Video2:58
Brian McLogan

Dividing two functions then determine the domain

12th - Higher Ed
Dividing two functions then determine the domain
Instructional Video2:59
Brian McLogan

How to expand a polynomial in factored form to determine the end behavior

12th - Higher Ed
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....