Intersection of Graphs
Videos and lessons with examples and solutions 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
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?
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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