Represent and solve equations and inequalities graphically
Reasoning with Equations and Inequalities
Represent and solve equations and inequalities graphically
Reasoning with Equations and Inequalities
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Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Explain why the π₯-coordinates of the points where the graphs of the equations π¦ = π(π₯) and π¦ = π(π₯) intersect are the solutions of the equation π(π₯) = π(π₯); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where π(π₯) and/or π(π₯) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Solve systems of equations and inequalities graphically.
Represent and solve equations and inequalities graphically.
Represent and solve equations and inequalities graphically.
Represent and solve linear and exponential equations and inequalities graphically.