Brian McLogan
Graphing the Tangent Functions with a Phase Shift
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
Graph the Tangent Equation with a Reflection and Phase Shift
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
Learn how to graph a rational function when the function intercepts horizontal asymptote
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Define Continuous and Discontinuous Functions
Define Continuous and Discontinuous Functions
Brian McLogan
Graph a rational function and determine the horizontal and vertical asymptotes
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
How to graph the tangent function
👉 Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the...
Brian McLogan
How to find the foci, center and vertices, and asymptotes of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
How to sketch a hyperbola with a vertical transverse axis and label the parts
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
How to graph a rational function using solution points
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Graphing a rational function with a trinomial as the denominator
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Graphing a rational function with a slant asymptote
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Graphing logarithmic equations
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
How to graph a hyperbola with asymptotes and center at origin
How to graph a hyperbola with asymptotes and center at origin
Brian McLogan
Learn How to Graph the Cosine Function with a Phase Shift
👉 Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
Graphing the Secant Function with a Horizontal 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
Graphing the Tangent Function with a Change in Period
👉 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
Graph the Tangent Function with a Phase Shift
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
Graphing the Cotangent Function with a Change in Period
👉 Learn how to graph a cotangent function. To graph a cotangent 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...
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
Graph the reciprocal function with a reflection and translations
👉 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
Finding the asymptotes
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Find the domain, horizontal asymptotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Overview of asymptotes of a rational function, vertical horizontal and slant
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Brian McLogan
Identify any horizontal or vertical asypmtotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...