Curated Video
Determining Non-Function Graphs Using the Vertical Line Test
In this video, the teacher explains how to use the vertical line test to determine if a graph is a function or not. The viewer is presented with four graphs and asked to identify which one is not a function. The teacher demonstrates how...
Curated Video
Identifying Linear and Nonlinear Equations
In this video, the teacher explains how to determine whether an equation is linear or nonlinear by identifying the exponent of the variable. The teacher provides five equations and asks the viewer to determine which ones are linear and...
Curated Video
Introduction to Inverse Functions
The video explains the concept of inverse functions and two methods to solve problems involving them. The speaker first defines inverse functions as performing the opposite process of the original function and explains standard notation...
Curated Video
Comparing Linear, Exponential and Quadratic Functions
This lesson will cover the patterns of linear, exponential and quadratic functions and review how to determine what type a function from a table of values. We will also review how to write a function rule/equation for a pattern from a...
Brian McLogan
How to determine if a piecewise function is continuous or not with limits
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn How To Compose Two Quadratic Functions Back and Forth
Learn how to compose two functions where one or both of those functions is/are quadratic. 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
Find the value a that makes the piecewise functions continuous
👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
How to find the value k that makes the function continuous
How to find the value k that makes the function continuous
Brian McLogan
How to Algebraically Show That a Function is Even
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
How to find the values k that make a piecewise function continuous
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Evaluating the limit of piecewise functions
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
Learn how to determine if a piecewise function is continuous and differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Brian McLogan
Evaluate the limit from a continuous graph
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Brian McLogan
Learn How To Evaluate the Composition of Two Functions and Evaluate for a Value
Learn how to compose two linear functions. 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 one of the functions with the value of the...
Brian McLogan
How to add two functions
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Graph piecewise functions absolute value and quadratic
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Evaluate the limit for a value of a function
👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value...
Brian McLogan
Learn the Steps to Graph Piecewise Functions
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
How to make a piecewise function continous by finding the value k
👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
How to determine and label if a piecewise function is continuous or not
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
Divide two functions then 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
Quotient of two functions then 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...
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