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.

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?

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 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.