unit one review

2. — a ratio of two polynomials, such as (2x − 4)/(x² − x − 6).
5. — a mathematical statement using <, >, ≤ or ≥ to compare expressions.
6. — the lowest point on a parabola that opens upward, giving the least y-value.
7. — a point where the graph crosses the x-axis; found by setting y = 0.
9. — satisfies f(−x) = −f(x); its graph has origin symmetry.
11. — a horizontal line y = b describing the value a function approaches as x → ±∞.
12. — the change in y divided by the change in x over an interval; the slope of a secant line.
13. — an expression consisting of sums of powers of x with real coefficients (e.g., x³ − 7x² + 12x).
14. — a “hole” in a graph where a single x-value is undefined but could be filled in to make the function continuous.
18. — a vertical line x = a that a graph approaches but never touches because the function grows without bound there.
20. — an equation of the form y = mx + b whose graph is a straight line.
22. — an x-value where f(x) = 0; synonymous with “solution” or “x-intercept.”
23. — the amount left over after dividing one polynomial by another.

1. — the rate of change of a line, calculated as rise ⁄ run (Δy ⁄ Δx).
3. — a degree-3 polynomial whose graph can have up to two turns (e.g., x³ − 3x² + kx − 4).
4. — a polynomial that divides another exactly with zero remainder.
8. — peaks or valleys that are highest or lowest only within a small neighborhood of the graph.
10. — a best-fit equation of degree 2 used to describe parabolic data patterns.
15. — the result of the division before adding any remainder.
16. — satisfies f(−x) = f(x); its graph is symmetric about the y-axis.
17. — the highest or lowest y-values on the entire graph of a function.
19. — all x-values for which a function produces a real output.
21. — formula that expands (a + b)ⁿ using combinations (Pascal’s Triangle).
24. — the trend of a graph as x approaches ∞ or −∞.