Graphs Can Solve Equations Too

Examples, videos, and solutions to help Algebra I students discover that the multi-step and exact way of solving |2x - 5| = |3x + 1| using algebra can sometimes be avoided by recognizing that an equation of the form f(x) = g(x) can be solved visually by looking for the intersection points of the graphs of y = f(x) and y = g(x).

New York State Common Core Math Algebra I, Module 3, Lesson 16

Worksheets for Algebra 1

Examples and Exit Ticket

1. Solve the following equations graphically. Verify the solution sets using the original equations.
2. How do intersection points of the graphs of two functions f and g relate to the solution of an equation in the form f(x) = g(x)?
3. What are some benefits of solving equations graphically? What are some limitations?

Summary

1. Know the general shapes of exponential curves, lines and absolute value functions.
2. Know how to perform an intersection of functions on your calculator.

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

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