Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.
Find intersection points of a line and a quadratic
Problem
Find the intersections of the linear function \(y~=~x~+~2\) and quadratic function \(y~=~x^2~-~2x~-~2\).
Big Picture
What this problem is really about
A line and a quadratic can meet more than once, so we have to account for every shared input. We’ll set their output expressions equal, move everything into a zero-product equation, and keep every root produced by factoring. Each root then goes back into a source rule to find its shared output, turning the inputs into complete intersection points that can be checked on both graphs.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
