In this short math video we will answer a standardized math question where we determine "Does the Graph Represent a Linear Function?" We will begin by review that a the graph of a linear function is a line that is not vertical. We will...

In this video, the teacher explains how to solve a system of equations that includes both a quadratic and a linear equation. The method used is substitution, where one equation is substituted into the other to eliminate one variable. The...

In this video, we explore the concept of domain restrictions in quadratic functions by analyzing real-life scenarios involving linear and quadratic functions. We learn about function notation, linear functions with constant rate of...

This video will teach how to rewrite common functional expressions into a "derivative friendly" form. A good understanding of intermediate algebra is required to succeed in any calculus class.

This video explains how to find the zeros of first and second-degree polynomial functions by setting the function equal to zero and solving for x. It also discusses the concept of linear functions and their x-intercepts, as well as the...

This video explains how to distinguish between linear and exponential functions by examining function tables. Learn how to identify the patterns in the output values and explain the difference between equal differences in linear...

In this lesson, we explore the different forms of quadratic functions and how they provide useful information about the function. Specifically, we focus on the factored form of a quadratic function, which allows us to easily identify the...

In this lesson, students will learn how to write a rule for a nonlinear function by recognizing patterns. They will explore linear and nonlinear functions, identifying common differences and patterns in tables of values. Through examples...

In this video, the teacher explains the difference between linear and exponential functions using examples and graphs. They demonstrate how to identify equal differences in a linear function and equal factors in an exponential function....

In this lesson, students will learn how to determine the explicit rule for an arithmetic sequence and how it represents a linear function. They will create a table of values and graph ordered pairs on a coordinate plane to visualize the...

In This Episode, Tyler Teaches Us About Piecewise Linear Functions - ENGAGE NY Algebra I

How can we "fill in" the data points between discrete data? How can we extend beyond our data points? • Learn linear interpolation • Learn polynomial interpolation • See the dangers of extrapolation

👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...

Understand how to recognize a linear function by examining its four representations: graph, algebraic equation, numeric table, and verbal description. Use examples to demonstrate the concept and highlight common mistakes. By...

In this video, the teacher explains how to construct a linear function to model a scenario. They use examples such as the growth of antelope population and the cost of a cell phone plan to demonstrate how to calculate the slope and Y...

In this lesson, students will learn how to solve a system of a quadratic and linear equation using substitution. They will understand that a system is a group of equations and its solution makes both equations true simultaneously.

In this video, the teacher explains how to identify the zeros of a quadratic function that is a difference of two squares by factoring. They provide examples and explain the concept of zeros being the input values that make the function...

In this video, the teacher explains how to recognize patterns and determine if they are linear. They use the example of counting blocks in rows to demonstrate how to identify a linear pattern and function. The teacher then shows how to...

Composing a linear function into a quadratic linear function

Learn how to write and graph a linear function from a table that represents a linear relationship. Review the slope-intercept form of a linear equation and how to find the slope and y-intercept from a table or graph. Understand the...

👉 Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...

Learn to define linear functions by analyzing graphs of the forms y = x and y = mx. Understand that linear functions have a constant rate of change and that the coefficient of x, also known as the slope, determines the steepness of the...

In this lesson, students will learn to define linear functions by comparing graphs. They will understand that linear functions are represented by straight lines, and that as you move from left to right on a linear function, you are also...

👉 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...