 # 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?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 