AP Precalculus Test Prep - FREE RESPONSE - Function Concepts (Calculator Allowed) скачать в хорошем качестве

AP Precalculus Test Prep - FREE RESPONSE - Function Concepts (Calculator Allowed)

Please subscribe!    / @nickperich   This example describes an AP Precalculus Free Response problem that covers the following... 1. *Finding the Value of a Function from a Table of Values:* Given a table with \(x\) and corresponding \(y\) values, finding the value of a function involves locating the \(x\) value in the table and reading the corresponding \(y\) value. This gives you the output of the function at that specific \(x\) value. 2. *Finding the Inverse of a Function using a Table of Values:* When you want to find the inverse function, you swap the roles of \(x\) and \(y\) in the table. Then, you solve for \(y\) (the new function value) to determine the inverse function's values based on the original table. 3. *Finding the End Behavior of a Function:* To determine the end behavior of a function as \(x\) approaches positive or negative infinity, you examine the behavior of its terms with the highest degrees. If the leading terms dominate the function, you can predict whether the function increases or decreases without bound. 4. *Solving a Function for a Given Value:* Solving a function for a specific value involves substituting that value into the function and calculating the result. This process allows you to determine the output (usually \(y\)) corresponding to the given input (\(x\)). 5. *Using a Table of Values to Determine if a Function is Linear or Quadratic:* When analyzing a table of values, if the differences between consecutive \(y\) values are constant, the function is likely linear. If the ratios between consecutive \(y\) values are consistent, the function might be quadratic. These patterns help determine the function's behavior. Each of these concepts is essential for understanding and analyzing various aspects of functions, their behavior, and their relationships with input and output values. These videos are examples taken from AP Precalculus Test study guides or official course description guides created by Collegeboard. The Topics covered in AP Precalculus are... 1.1 Change in Tandem 1.2 Rates of Change 1.3 Rates of Change in Linear and Quadratic Functions 1.4 Polynomial Functions and Rates of Change 1.5 Polynomial Functions and Complex Zeros 1.6 Polynomial Functions and End Behavior 1.7 Rational Functions and End Behavior 1.8 Rational Functions and Zeros 1.9 Rational Functions and Vertical Asymptotes 1.10 Rational Functions and Holes 1.11 Equivalent Representations of Polynomial and Rational Expressions 1.12 Transformations of Functions 1.13 Function Model Selection and Assumption Articulation 1.14 Function Model Construction and Application 2.1 Change in Arithmetic and Geometric Sequences 2.2 Change in Linear and Exponential Functions 2.3 Exponential Functions 2.4 Exponential Function Manipulation 2.5 Exponential Function Context and Data Modeling 2.6 Competing Function Model Validation 2.7 Composition of Functions 2.8 Inverse Functions 2.9 Logarithmic Expressions 2.10 Inverses of Exponential Functions 2.11 Logarithmic Functions 2.12 Logarithmic Function Manipulation 2.13 Exponential and Logarithmic Equations and Inequalities 2.14 Logarithmic Function Context and Data Modeling 2.15 Semi-log Plots 3.1 Periodic Phenomena 3.2 Sine, Cosine, and Tangent 3.3 Sine and Cosine Function Values 3.4 Sine and Cosine Function Graphs 3.5 Sinusoidal Functions 3.6 Sinusoidal Function Transformations 3.7 Sinusoidal Function Context and Data Modeling 3.8 The Tangent Function 3.9 Inverse Trigonometric Functions 3.10 Trigonometric Equations and Inequalities 3.11 The Secant, Cosecant, and Cotangent Functions 3.12 Equivalent Representations of Trigonometric Functions 3.13 Trigonometry and Polar Coordinates 3.14 Polar Function Graphs 3.15 Rates of Change in Polar Functions I have many informative videos for Pre-Algebra, Algebra 1, Algebra 2, Geometry, Pre-Calculus, and Calculus. Please check it out:    / nickperich   Nick Perich Norristown Area High School Norristown Area School District Norristown, Pa . . . #math #maths #mathskills #mathsucks #mathstudent #mathsmemes #mathstudents #mathsteacher #mathsisfun #gcsemaths #quickmaths #mathstutor #mathsclass #mathstricks #mathsjokes #brunomathsson #mathstations #mathslover #mathsproblems #mathsfun #alevelmaths #earlymaths #mathsquiz #mathsmeme #mathsmock #mathsnotes #mathsbeauty #ilovemaths #lovemaths #addmaths #mathsforlife #mathsweek #mathsgames #mathsexam #eyfsmaths #mathsrevision #primarymaths #ihatemaths #mathslesson #mathstuition #math #shorts #funny #help #onlineclasses #onlinelearning #online #study