Mathematics · Polynomial Functions · Topic 16 · 16 of 18
Reading and Interpreting Polynomial Graphs
Infer zeros, signs, intervals, extrema, and end behavior from a graph.
Intercept informationRead x- and y-intercepts directly from the coordinate plane.
Positive and negative intervalsThe function is positive above the x-axis and negative below it.
Shape evidenceCrossing, bouncing, ends, and turning points reveal algebraic features.
Interpret systematically
- Read intercepts.
- Describe local behavior at each zero.
- State increasing/decreasing or positive/negative intervals.
- Connect the observations to a possible polynomial model.