A Precalculus Outline
Chapter 2: Linear and Quadratic Functions |
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Objective: Finding the slope between two points |
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Objective: Finding the equation of a line given information about the line |
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Objective: Writing a line in slope-intercept form to graph |
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Objective: Graphing a line given in slope-intercept form |
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Objective: Graphing horizontal lines |
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Objective: Graphing vertical lines |
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Objective: Interpreting slope as a rate of change |
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Objective: Writing Linear Models |
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Objective: Finding the Average Rate of Change of a Function |
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Objective: Plotting points in the plane. |
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Objective: X-intercepts |
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Objective: Y-intercepts |
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Objective: Solving linear equations |
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Objective: Definition of absolute value |
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Objective: Piecewise definition of absolute value |
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Objective: Writing a function involving absolute values as a piecewise-defined function |
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Objective: Solving equations involving absolute value |
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Objective: Graphing absolute value functions |
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Objective: Graphing piecewise defined functions |
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Objective: X-intercepts |
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Objective: Y-intercepts |
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Objective: Finding domain of a function graphically |
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Objective: Finding range of a function graphically |
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Objective: Finding a relative maximum of a function graphically |
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Objective: Finding a relative minimum of a function graphically |
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Objective: Finding a local maximum of a function graphically |
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Objective: Finding a local minimum of a function graphically |
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Objective: Finding the maximum of a function graphically |
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Objective: Graphing Quadratic Functions by plotting points |
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Objective: Graphing a quadratic function by converting it to standard form by completing the square |
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Objective: Graphing a quadratic function by finding its zeros and using the vertex formula |
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Objective: Using the vertex formula to find the vertex of the graph of a quadratic function |
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Objective: Solving a quadratic equation using the quadratic formula |
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Objective: Finding the discriminant of a quadratic equation and using it to characterize the nature of solutions |
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Objective: Solving application problems featuring quadratic functions |
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Objective: Solving a quadratic equation by completing the square |
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Objective: X-intercepts |
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Objective: Y-intercepts |
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Objective: Finding domain of a function graphically |
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Objective: Finding range of a function graphically |
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Objective: Finding a relative maximum of a function graphically |
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Objective: Finding a relative minimum of a function graphically |
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Objective: Finding a local maximum of a function graphically |
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Objective: Finding a local minimum of a function graphically |
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Objective: Finding the maximum of a function graphically |
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Section 2.4: Inequalities with Absolute Value and Quadratic Functions |
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Objective: Solving inequalities graphically |
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Objective: Solving inequalities involving absolute value |
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Objective: Solving quadratic inequalities using a sign diagram |
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Objective: Graphing inequalities in two variables |
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Objective: Using inequalities to describe regions in the plane |
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Objective: Graphing functions |
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Objective: Solving linear inequalities |
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Objective: Solving compound inequalities |
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Objective: Intersection of sets |
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Objective: Union of sets |
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Objective: Using a calculator to find the least squares regression line |
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Objective: Using a calculator to create a quadratic regression model |
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Objective: Plotting points in the plane |
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Objective: Slope as a rate of change |
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Objective: Vertex of a quadratic function |
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Objective: Vertex of a parabola |