M.A2HS.17
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations.
Example Problems
We want to find the intersection points of the graphs given by the following system of equations:
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
We want to find the intersection points of the graphs given by the following system of equations:
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
We want to find the intersection points of the graphs given by the following system of equations:
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
One of the intersection points is .
Find the other intersection point.
Your answer must be exact.
Khan Academy ResourcesNumber of solutions to system of equations reviewSystems of equations with graphingSolving equations graphically: introNumber of solutions to a system of equations graphicallySolving equations graphically: word problemsNumber of solutions to a system of equations algebraicallySolving equations graphically: graphing calculatorSolutions of systems of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations with graphing: y=7/5x-5 & y=3/5x-1Systems of equations number of solutions: fruit prices (1 of 2)Number of solutions to a system of equations graphicallySystems of equations number of solutions: fruit prices (2 of 2)Number of solutions to a system of equationsTesting a solution to a system of equationsSolutions to systems of equations: consistent vs. inconsistentSolutions to systems of equations: dependent vs. independentSolving equations by graphing: word problemsHow many solutions does a system of linear equations have if there are at least two?Solving equations by graphingNumber of solutions to a system of equations algebraicallySolving equations by graphing: introSolving equations by graphing: graphing calculatorSystems of equations with graphing: exact & approximate solutions

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