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Brian McLogan
Graphing logarithmic equations
👉 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
Graphing a logarithm with horizontal and vertical shift
👉 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
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
How to graph, find range, domain, vertex, and axis of symmetry from a quadratic
👉 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...
Brian McLogan
How to find the end behavior of a polynomial in factored form
👉 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....
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
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 E
xample #1
2
:56 Example #2 <
br/>3:56 Exampl
e #3
4:5
5 Example #4
Corrections:...
0:00
Intro
1:06 E
xample #1
2
:56 Example #2 <
br/>3:56 Exampl
e #3
4:5
5 Example #4
Corrections:...
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
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...
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
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 from a logarithmic function
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
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
Master adding subtracting multiplying and dividing two functions linear and quadratic
Master adding subtracting multiplying and dividing two functions linear and quadratic
Brian McLogan
T Misconceptions with Characteristics of Functions
T Misconceptions with Characteristics of Functions
Brian McLogan
Dividing two functions then determine the domain
Dividing two functions then determine the domain
Brian McLogan
How to expand a polynomial in factored form to determine the end behavior
👉 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....