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VERTEX AND SLOPE OF LINEAR GRAPH
vertex and slope of linear equation , TI89 quadratic equation solver method ,adding subtracting dividing multiplying scientific notation worksheet , solving partial differential equations by factoring

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#### CartesianPlane

• Finddistance between two points in the Cartesian Plane.
• Usethe Distance formula to solve Geometry and real-life applicationproblems.
• Findthe Midpoint of the segment joining two points in the Cartesian Plane.
• Usethe Midpoint formula to solve application problem.

#### Graphsof Equations

• Determinewhether a point lies on the graph of an equation.
• Sketchgraphs using a table of values and a graphing utility.
• Findthe x and y-intercepts of the graph of an equation(algebraically and graphically).
• Determinethe symmetry of the graph of an equation (algebraically andgraphically).
• Writethe General Form Equation of a circle in Standard Form and determinethe center and radius of the circle.

#### Linesin the plane

• Determinethe slope of a line passing through two points.
• Findthe point-slope form equation of a line.
• Findslope-intercept form equation of a line and sketch the line.
• Determineif lines are parallel or perpendicular using slope.
• Writeequation of a line parallel or perpendicular to a given line.

#### LinearModeling

• Constructlinear models.
• Uselinear models with slope as the rate of change.
• Finda linear model that fits a set of data (Linear Regression).

#### Functions

• Determineif an equation or a set of ordered pairs represents a function.
• Usefunction notation.
• Evaluatea function.
• Findthe domain of a function.
• Interpretinput and output of Real-life functions.
• Solvean application problem involving Real-life functions.

#### Graphsof Functions

• Find the domain and range using the graph of a function.
• Vertical Line Test.
• Describe the increasing and decreasing behavior of afunction.
• Classify a function as even or odd.
• Identify six common graphs.

#### Transformationsof Functions

• Describe how a graph has been changed from the originalusing common transformations.
• Sketch the graph of a function using the common graphs andtransformations.
• Write the equation of a function using common graphs andtransformations.

#### Algebraof Functions

• Find the sum, difference, product, and quotient of functions
• Find the composition of two functions
• Determine the domain of two combined functions
• Determine the functions which have been composed to make upa given function
• Solve real life problems involving the combination(addition,subtraction, multiplication, division, and/or composition) of twofunctions

#### InverseFunctions

• Determineif a function has an inverse function (Horizontal Line Test).
• Findthe Inverse of a function.
• Grapha function and its Inverse.
• Restrictingthe Domain to Create a Function with an Inverse Function

• Sketchthe graph of a quadratic function (parabola) and identify its vertexand intercepts (algebraically and graphically).
• Writea quadratic function in standard form and identify the vertex from thestandard form.
• Findthe quadratic function given the vertex and a point on the graph
• Solvereal-life problems involving quadratic functions.

#### PolynomialFunctions of Higher Degree

• Classifypolynomial functions as constant, linear, quadratic, cubic, etc.
• Applythe Leading Coefficient Test to determine right and left behavior ofthe graph of a polynomial function
• Find the real zeros of polynomial by factoring
• Write the equation of a polynomial given its roots and apoint on the graph.

#### PolynomialDivision

• Dividepolynomials using long division.
• Divise polynomials using syntheticdivision.
• Use the Remainder Theorem to evaluate a polynomial.
• Use the Factor Theorem to factor a polynomial.

#### RealZeros of Polynomials

• Findall possible rational zeros of a polynomial function using the RationalZero Test.
• Findall real zeros of a polynomial function algebraically.
• Approximatethe real zeros of a polynomial function using the Intermediate ValueTheorem.
• Approximatethe real zeros of a polynomial using a graphing utility.
• Write the equation of a polynomial given its roots and apoint on the graph.

#### ComplexNumbers

• Add, subtract, multiply, and divide complex numbers.
• Write a complex number in standard form.
• Solvea quadratic equation involving complex zeros.

#### PolynomialFunctions

• Usethe Fundamental Theorem of Algebra and the Linear Factorization Theoremto write a polynomial as the product of linear factors.
• Findall real and complex zeros of a polynomial function.
• Finda polynomial with integer coefficients whose zeros are given.
• Usethe Leading Coefficient Test and the zeros of a polynomial to sketchthe graph of a polynomial.
• Applytechniques for approximating real zeros to solve an application problem

#### RationalFunctions

• Findthe domain of a rational function.
• Findthe vertical and horizontal asymptotes of the graph of a rationalfunction.
• Sketchthe graph of a rational function.
• Usea rational function model to solve an application problem

#### ExponentialFunctions

• Sketchthe graph of an exponential function.
• Find basic characteristics of an exponential function(domain, range,intercepts, increasing/decreasing behavior).
• Writeformulas of transformed exponential functions,
• Usean exponential model to solve an application problem (in particular,models involving the natural exponential function and compound interestformulas).
• Usethe compound interest formula to solve finance problems.

#### LogarithmicFunctions

• Sketchthe graph of a logarithmic function.
• Investigatebasic characteristics of a logarithmic function (domain, x-intercept,vertical asymptote).
• Writeformulas of transformed logarithmic functions.

#### Laws of Logarithms

• Usethe change of base formula to evaluate a logarithm.
• Applyproperties of logarithms.

#### Exponentialand Logarithm Equations

• SolveLogarithmic and Exponential Equations.

#### Exponentialand Logarithm Models:

• Usea logarithmic model to solve an application problem (in particular,models involving the natural logarithmic function).
• Constructand use a model for exponential growth or exponential decay.

#### Systemsin Two Variables - Substitution

• Solvea linear system of equations by the method of substitution.
• Solvea nonlinear system of equations by the method of substitution.
• Constructand use a linear system of equations to solve an application problem.
Systemsin Two Variables -Graphing
• Solvea linear system of equations graphically.
• Solvea nonlinear system of equations graphically.
• Constructand use a linear system of equations to solve an application problem.

#### Systemsin Two Variables -Elimination

• Solvea linear system of equations by the method of elimination.
• Constructand use a linear system of equations to solve an application problem.

#### SigmaNotation and Factorials

• Evaluatea factorial expression.
• Usethe summation notation to write the sum of a sequence.

#### Sequences- Basic Concepts

• Findthe terms of a sequence.
• Findthe sum of a finite sequence.
• Usea sequence to solve an application problem

#### ArithmeticSequences & Series

• Determine whether a sequence isarithmetic or geometric.
• Findthe nth term of an arithmetic sequence.
• Finda formula for an arithmetic sequence.
• Findthe sum of a finite arithmetic series.
• Usean arithmetic sequence to solve an application problem.

#### GeometricSequences and Series:

• Determinewhether a sequence is arithmetic or geometric.
• Findthe nth term of a geometric sequence.
• Finda formula for a geometric sequence.
• Findthe sum of a finite geometric series.
• Find the sum of an infinite geometric series (wherepossible).
• Usea geometric sequence to solve an application problem.