MAT 102 Topics by Unit - MAT 102 Topics by Unit Unit 1...

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MAT 102 Topics by Unit Unit 1 Write Up Topics Solving an equation of the form x 2 = a using the square root property Solving a quadratic equation using the square root property: Exact answers, basic Solving a quadratic equation using the square root property: Exact answers, advanced Completing the square Solving a quadratic equation by completing the square: Exact answers Applying the quadratic formula: Exact answers Applying the quadratic formula: Decimal answers Solving a quadratic equation with complex roots Discriminant of a quadratic equation Discriminant of a quadratic equation with parameter Solving a word problem using a quadratic equation with irrational roots Solving an equation using the odd-root property: Problem type 1 Solving an equation using the odd-root property: Problem type 2 Solving an equation that can be written in quadratic form: Problem type 1 Solving an equation that can be written in quadratic form: Problem type 2 Solving an equation with positive rational exponent Solving an equation with negative rational exponent Finding the vertex, x-intercepts, and axis of symmetry from the graph of a parabola Graphing a parabola of the form y = (x-h) 2 + k Graphing a parabola of the form y = x 2 + bx + c Graphing a parabola of the form y = ax 2 + bx + c: Integer coefficients Graphing a parabola of the form y = ax 2 + bx + c: Rational coefficients Finding the x-intercept(s) and the vertex of a parabola
Using a graphing calculator to find the x-intercept(s) and vertex of a quadratic function Rewriting a quadratic function to find the vertex of its graph Finding the maximum or minimum of a quadratic function Word problem involving the maximum or minimum of a quadratic function Domain and range from the graph of a parabola Range of a quadratic function Writing the equation of a quadratic function given its graph Solving a quadratic equation by graphing Comparing properties of quadratic functions given in different forms Classifying the graph of a function How the leading coefficient affects the shape of a parabola Solving a quadratic inequality written in factored form Solving a quadratic inequality Solving a polynomial inequality Solving a rational inequality: Problem type 1 Solving a rational inequality: Problem type 2 Unit 2 Write Up Topics Restriction on a variable in a denominator: Linear Restriction on a variable in a denominator: Quadratic Evaluating a rational function: Problem type 1 Evaluating a rational function: Problem type 2 Domain of a rational function: Excluded values
Simplifying a ratio of factored polynomials: Linear factors Simplifying a ratio of factored polynomials: Factors with exponents Simplifying a ratio of polynomials using GCF factoring Simplifying a ratio of linear polynomials: 1, -1, and no simplification

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