Intersection of Graphs



Videos and lessons to help High School students 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. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

Suggested Learning Targets

Explain why the intersection of y = f(x) and y = g(x) is the solution of f(x) = g(x) for any combination of linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Find the solution(s) by:
• Using technology to graph the equations and determine their point of intersection
• Using tables of values

• Using successive approximations that become closer and closer to the actual value.

Common Core: HSA-REI.D.11


Related Topics:
Common Core (Algebra)

Common Core for Mathematics

Finding Points of Intersection
f(x) = g(x)



Points of Intersection using the Table, Graph and Equation





Points of Intersection



Determining the Intersection of Two Graphs on the TI83/84
This video shows how to use the TI83/84 to determine the points of intersection/s of two graphs.



TI Calculator Tutorial: Points of Intersection
This tutorial will teach you how to find Point of Intersection with your TI calculator.



The following widget will plot 2 graphs and show the points of intersections.





Polynomial Properties: How Many Zeroes?



Polynomial Properties: How Many Points of Intersection?








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