Identify zeros from factorizations and use them to sketch polynomial graphs.
Determine how a polynomial graph behaves at a zero from its multiplicity
Problem
Determine the graph behavior at the zero \(x~=~2\) with multiplicity \(1\).
Big Picture
What this problem is really about
Graph behavior at a zero comes from the parity of its multiplicity. We’ll locate the zero on the x-axis, classify multiplicity 1 as odd, and use the polynomial’s sign on the two sides to determine whether the curve passes through or turns back. The size of the multiplicity also tells us whether any flattening is expected.
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.
