In this video, the teacher explains how to find the maximum value of a quadratic function by completing the square. They demonstrate the process using two examples and highlight common mistakes to avoid. By rewriting the function in a...

In this video lesson, the teacher explains how to determine the domain of a function by analyzing a situation. Using examples and graphs, they demonstrate how to identify the input values that are valid for the function.

In this video, the teacher explains how to identify and describe the Y intercept of a linear function. The Y intercept represents the starting value or initial condition of the function. Using examples of a carnival admission cost and...

In this video, students learn about linear and exponential functions by analyzing real-life word problems. They explore the concept of domain and how it can be restricted based on the context of the problem.

In this lesson, students will learn how to use a linear function to predict distance, speed, and time in a car. By graphing the equation D = rate * time (d=rt), they will be able to understand the relationship between these variables and...

In this lesson, students learn how to find the volume of a box by analyzing a physical context. They review the concept of a polynomial function and then apply it to write a function for the volume of the box based on its height.

In this video, the teacher explains how to determine the domain and range of a function by looking at its graph. They provide examples and discuss the concepts of domain and range in relation to functions and lines.

In this lesson, you will learn how to determine the end behavior of a polynomial function. By understanding the relationship between the end behavior of the polynomial and its leading term, you can easily describe what happens to the...

In this video, the teacher explains how to graph step functions by understanding the general shape of the steps. They discuss the use of open and closed circles when graphing inequalities and provide examples of step functions.

This video explores the process to find a minimum value in a quadratic function by completing the square. We use two examples and highlight common mistakes to avoid. By rewriting the function in a different form, the minimum value...

In this lesson, students learn how to identify holes in a graph by investigating functions. They explore examples where the denominator of a function cannot equal zero, resulting in either an asymptote or a hole in the graph.

In this video, students will learn how to graph sinusoidal functions by plotting points and observing the terminal ray of the unit circle. They will understand the patterns and periodicity of the sine and cosine functions, and how to...

In this lesson, students will learn how to identify an ordered pair belonging to the same exponential function as two given ordered pairs. By understanding that exponential functions grow by equal factors on equal intervals, students can...

In this lesson, mathematicians learn how to model rational functions by graphing. By using the example of sharing the cost of parking in a van, the concept of a rational function is explained. The graph shows how the amount of money each...

In this video, the teacher explains how to determine the number of rational x-intercepts in the graph of a quadratic function by examining the method used to factor the function. The video also clarifies the difference between rational...

In this video, you will learn how to use the graph of a quadratic function to find the best price for selling stuffed animals. By finding the zeros of the function and understanding the relationship between price and sales, you can...

In this video, the teacher explains how to find the measure of an acute angle in a right triangle when only the side lengths are known. They introduce the concept of trigonometric ratios (sine, cosine, and tangent) and explain how to use...

In this lesson, students will learn how to interpret scatter plots by determining if they are linear or nonlinear. By analyzing the shape of the graph, students will be able to identify whether the relationship between the variables is...

In this lesson, students will learn how to name an additional ordered pair that belongs to the same linear function as two given ordered pairs. By understanding that linear functions grow by equal differences on equal intervals, students...

In this video, the concept of asymptotes is explained through the analysis of different functions. The teacher demonstrates how to identify asymptotes by examining the domain of a function and its behavior as it approaches infinity.

In this video, the teacher explains how to calculate and graph exponential functions using real-life scenarios. They provide examples of calculating the population of bacteria over time and the height of a bouncing baseball. The teacher...

In this video, the teacher explains how context influences functions by examining a graph. They use the example of a volume function for a box to demonstrate how the x-intercepts represent the points where the volume is zero.

In this lesson, students learn how to analyze a physical context by examining a function. The specific example used is the construction of a box with maximum volume. By studying the graph of a polynomial function and considering the...

In this video, the teacher explains how to create a function by analyzing a situation. They use examples and explain the concepts of domain and range. They also demonstrate how to write a function for the average annual cost of a TV...