FunctionsMenu1What Are Functions in Math?2Why Are Functions Important in Real Life?3What Is the Definition of a Function?4What Is a Coordinate System?5What Are Function Tables?6How to Find x and y Values of a FunctionActivity Set 1Activity Set 27How to Calculate Domain and Range in Math8How to Calculate and Interpret Intersection PointsActivity Set 19How to Calculate Zeros or Roots of a FunctionActivity Set 110What Are Linear Functions?11How Are Linear Functions Used in Real Life?12What Makes a Function Proportional?13What Are Quadratic Functions?Activity Set 114Polynomial FunctionsActivity Set 115What Are Exponential Functions?16Exponential Functions with Euler's Number17What Does Inversely Proportional Mean in Math?18What Are Power and Root Functions?Activity Set 119Logarithmic FunctionsActivity Set 120Rational functionsActivity Set 121Calculate and Interpret the Average Rate of ChangeActivity Set 1Find the average rate of change between the points(1,2) and (3,5).Average rate of change =CheckResetContinue22What Is the Point-Slope Equation?Activity Set 123Interpret and Find Instantaneous Rate of Change in MathActivity Set 124How to Approximate Instantaneous Rate of Change in Math25How to Interpret and Calculate Limits of a Function26How Do You Determine Continuity of a FunctionActivity Set 127How to Interpret and Calculate Asymptotes of a Function28What Does the Definition of the Derivative Mean?29How Do You Determine if a Function Is Differentiable?30Rules of Differentiation for Finding Derivatives31How Does the Chain Rule for Differentiation Work?32How to Find Derivatives using the Product Rule33How to Differentiate Functions Using the Quotient Rule34Make Sign Charts of the Derivatives of a Function35Derivation of Distance to Get Velocity and Acceleration36What Are Stationary Points of a Function?37How to Calculate the Curvature of a Function38What Are Inflection Points of a Function?39How to Analyze Polynomial Functions40How to Analyze Logarithmic Functions41How to Analyze Power Functions42How to Analyze the Cosine Function43Analyzing Exponential Functions44What Are Riemann Sums Used for?45What Are the Important Integration Rules?46Which Basic Relations in Integration Should You Know?47How to Interpret and Calculate the Definite Integral48How to Interpret and Calculate the Indefinite Integral49How to Use the Formula for Integration by Parts50How to Do Integration by Substitution51Use Partial Fraction Decomposition for Integration52How to Find the Area Between Two Graphs by Integration53How to Use Solids of Revolution to Find Volumes54What Is a Differential Equation?55What Are Integral Curves and Direction Fields Used for?56What Can Differential Equations Be Used for?57What Are First Order Differential Equations?58First Order Differential Equations with Constant Coefficients59First Order Differential Equations with Initial Conditions60How to Solve Exact First Order Differential Equations61How to Write and Solve Separable Differential Equations62Integrating Factor Method for Differential Equations63Logistic Growth and Carrying Capacity of a Population64What Are Second Order Differential Equations?65How to Solve Exact Second Order Differential Equations66Homogeneous Second Order Differential Equations with Constant Coefficients67Second Order Differential Equations with Initial Conditions68Verify Solutions to Second Order Differential Equations69Find the Equation of a Tangent Line of a Function70The Differential Equation for Harmonic Oscillators71Reduction of Order Method for Differential Equations72Mathematical ModelingActivity Set 173Mathematical RegressionActivity Set 174The Difference Between Interpolation and Extrapolation75Linear ModelActivity Set 176Quadratic ModelsActivity Set 177Exponential ModelsActivity Set 178What Are Power Models in Math?79What Are Logistic Models Used For?80What Are Cubic Models in Math?81What Are Trigonometric Models?82What Does the Feasible Reagion in Optimization Mean?Activity Set 183How to Use the Graphical Method for Linear Optimization84How to Use the Ruler Method for Linear Optimization
Find the average rate of change between the points(1,2) and (3,5).Average rate of change =CheckResetContinue
