Integrated 3 Chapter 8

Checkpoint Review: Students master different skills at different speeds. No two students learn exactly the same way at the same time. At some point you will be expected to perform certain skills accurately. Most of the Checkpoint problems incorporate skills previously developed. Each chapter has a different skill that should be mastered.

You e-book has a checkpoint resource (you must have the e-book open to access the link and click on CP 8

Previous Concepts

• Master Checkpoint 8: Determining the Equation for the Inverse of a Function, as in problems 8-10, 8-16, 8-68, 8-96, 8-114, and CL 8-156.
• Using logarithms, as in problems 8‑12, 8‑17, 8‑21, 8‑51(b), 8‑80(a), 8-104, 8‑125, 8‑133(a), and CL 8‑157.
• Problems, some with applications, for writing exponential equations from two points, especially when the asymptote is other than y=0, as in problems CL 7‑128, 8-36, 8-115, and CL 8‑158.
• Solving for missing side or angle measures using Law of Sines and Law of Cosines, as in problems 8-70, 8-82, 8‑105, 8-148, and CL 8-159.

Current Chapter 8 Concepts

• Given the x-intercepts and a point on a graph, write the equation of a polynomial function that represents the graph, as in problems 8‑33, 8-48, 8‑67, and CL 8‑152.
• Sketch a polynomial that has a given number of real and complex roots, or determine the minimum number of real and complex roots from the graph, or vice versa, as in problems 8‑77, 8-102, 8‑131, and CL 8‑153.
• Given the equation of a polynomial function of degree three or less with only real roots, determine the roots or factors, and/or sketch a graph, as in problems 8-11, 8‑15, 8‑79, 8‑95, 8-103, 8‑119, 8‑130, CL 8‑151, and CL 8‑154.
• Divide polynomials, as in problems 8-100, 8‑112, 8‑121, and 8‑146.
• Determine all real and complex roots, or factors, of a polynomial, as in problems 8‑93, 8‑100, 8‑113, and 8-121.