gerboy.blogg.se - Khan academy absolute value

In the first case, you assume that the stuff inside the parentheses is already a positive number, so you can just get rid of the absolute value signs and solve the problem as though they aren't even there. The equation Sal was solving was |3x-9|=0, right? Well, normally, you solve equations with an absolute value in them by considering two cases. Let’s first work with transformations on the absolute value parent function.I think the reason that the method is a little bit different here than what you are used to is because in this particular problem there was a 0 on the right hand side of the equation. Transformations of the Absolute Value Parent Function For Parent Functions and general transformations, see the Parent Graphs and Transformations section. Note: To review absolute value functions, see the Solving Absolute Value Equations and Inequalities section.

Applications of Integration: Area and VolumeĪbsolute Value Transformations can be tricky, since we have two different types of problems: Transformations of the Absolute Value Parent FunctionĪbsolute Value Transformations of other Parent Functions.

Exponential and Logarithmic Integration.

Riemann Sums and Area by Limit Definition.

Differential Equations and Slope Fields.

Antiderivatives and Indefinite Integration, including Trig.

Derivatives and Integrals of Inverse Trig Functions.

Exponential and Logarithmic Differentiation.

Differentials, Linear Approximation, Error Propagation.

Curve Sketching, Rolle’s Theorem, Mean Value Theorem.

Implicit Differentiation and Related Rates.Equation of the Tangent Line, Rates of Change.Differential Calculus Quick Study Guide.Polar Coordinates, Equations, and Graphs.Law of Sines and Cosines, and Areas of Triangles.Linear, Angular Speeds, Area of Sectors, Length of Arcs.Conics: Circles, Parabolas, Ellipses, Hyperbolas.Graphing and Finding Roots of Polynomial Functions.Graphing Rational Functions, including Asymptotes.Rational Functions, Equations, and Inequalities.Solving Systems using Reduced Row Echelon Form.The Matrix and Solving Systems with Matrices.Advanced Functions: Compositions, Even/Odd, Extrema.Solving Radical Equations and Inequalities.Solving Absolute Value Equations and Inequalities.Imaginary (Non-Real) and Complex Numbers.Solving Quadratics, Factoring, Completing Square.Introduction to Multiplying Polynomials.

Scatter Plots, Correlation, and Regression.

Algebraic Functions, including Domain and Range.

Systems of Linear Equations and Word Problems.

Introduction to the Graphing Display Calculator (GDC).

Direct, Inverse, Joint and Combined Variation.

Coordinate System, Graphing Lines, Inequalities.

Types of Numbers and Algebraic Properties.

Introduction to Statistics and Probability.

Powers, Exponents, Radicals, Scientific Notation.