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This page provides a list of educational videos related to Function Notation. You can also use this page to find sample questions, apps, worksheets, lessons , infographics and presentations related to Function Notation.
Evaluating Functions - Function Notation - MathHelp.com
By yourteachermathhelp
YouTube presents Evaluating Functions - Function Notation, an educational video resource on math.
Function notation in context example | Functions and their graphs | Algebra II | Khan Academy
By Khan Academy
Khan Academy presents Understanding Function Notation Example 3), an educational video resource on math.
Interpreting function notation word problems
By Khan Academy
Sal interprets the expression M(30)-M(0)=100 where M models an account balance over time.
Interpreting function notation word problems
By Khan Academy
Sal interprets the expression M(30)-M(0)=100 where M models an account balance over time.
Qtr 2, Lesson 6: Direct Variation and Function Notation
By Stan Lisle
In this algebra lesson, direct variation and function form are explained in great detail. The instructor uses examples and provides questions for students to solve at the end of each lesson.
Inverse Functions | MathHelp.com
By MathHelp.com
In this example, we’re given a relation in the form of a chart, and we’re asked to find the inverse of the relation, then graph the relation and its inverse. To find the inverse of a relation, we simply switch the x and y values in each point. In other words, the point (1, -4) becomes (-4, 1), the point (2, 0) becomes (0, 2), the point (3, 1) becomes (1, 3), and the point (6, -1) becomes (-1, 6). Next, we’re asked to graph the relation and its inverse, so let’s first graph the relation. Notice that the relation contains the points (1, -4,), (2, 0), (3, 1), and (6, -1). And the inverse of the relation contains the points (-4, 1), (0, 2), (1, 3), and (-1, 6). Finally, it’s important to understand the following relationship between the graph of a relation and its inverse. If we draw a diagonal line through the coordinate system, which is the line that has the equation y = x, notice that the relation and its inverse are mirror images of each other in this line. In other words, the inverse of a relation is the reflection of the original relation in the line y = x.
Systems of Three Equations | MathHelp.com
By MathHelp.com
Here we’re asked to graph the following function and use the horizontal line test to determine if it has an inverse. And if so, find the inverse function and graph it. So let’s start by graphing the given function, f(x) = 2x – 4, and remember that f(x) is the same as y, so we can rewrite the function as y = 2x – 4. Now, we simply graph the line y = 2x – 4, which has a y-intercept of -4, and a slope of 2, or 2/1, so we go up 2 and over 1, plot a second point and graph our line, which we’ll call f(x). Next, we’re asked to use the horizontal line test to determine if the function has an inverse. Since there’s no way to draw a horizontal line that intersects more than one point on the function, the function does have an inverse. So we need to find the inverse and graph it. To find the inverse, we switch the x and the y in original function, y = 2x – 4, to get x = 2y – 4. Next, we solve for y, so we add 4 to both sides to get x + 4 = 2y, and divide both sides by 2 to get 1/2x + 2 = y. Next, let’s flip our equation so that y is on the left side, and we have y = 1/2x + 2. Finally, we replace y with the notation that we use for the inverse function of f, as shown here. And remember that we’re asked to graph the inverse as well, so we graph y = ½ x + 2. Our y-intercept is positive 2, and our slope is ½, so we go up one and over 2, plot a second point, graph the line, and label it as the inverse function of f. Notice that the graph of the inverse function is a reflection of the original function in the line y = x.
Modeling- Linear Functions, Quadratic Functions, Exponential Functions PT 1
By Textbook Tactics
Determining if data fits a Linear, Quadratic, or Exponential Model by graphing the data or finding patterns in the data.
Finding the Equation of an Exponential Function
By PatrickJMT
Finding the Equation of an Exponential Function - The basic graphs and formula are shown along with one example of finding the formula for an exponential function given two points that the function goes through.
Modeling with exponential functions
By Khan Academy
Sal solves two word problems: one about a radioactive decay, and the other the exponential growth of a fast-food chain.
Rewriting and interpreting exponential functions
By Khan Academy
Sal solves two word problems: one about a radioactive decay, and the other the exponential growth of a fast-food chain.
Constructing linear and exponential functions
By Khan Academy
Sal solves a word problem where he models the growth of a speeding ticket fine over time as an exponential function, and then interprets this model.
Simplifying radicals | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy
By Khan Academy
This video lecture series on Pre-algebra from Khan Academy includes Order of Operations, Adding and Subtracting Negative Numbers, Multiplying and Dividing Negative Numbers, Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Exponents, Exponent Rules, Simplifying Radicals, Introduction to Logarithms, Unit Conversion, Speed translation.
Comparing Forms of Exponential Functions: y = ab^x and y = ae^(kx)
By Mathispower4u
This video explains how to write an exponential functin in the form y =ab^x in the form y = ae^(kx) and how to write a y=ae^(kx) in the form y = ab^x.
Creating Exponential Functions Part 1
By TeacherTube Math
WEBSITE: http://www.teachertube.com The basic exponential function y abquotx is applied to situations in compounding interest radioactive decay half life and population growth. The graphing calculator is used to evaluate the functions for different input values. The Tableset feature in the calculator is used.