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
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
Polynomial Properties: How Many Zeroes?
Polynomial Properties: How Many Points of Intersection?
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You can use the free Mathway widget 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.