MATH 1314 College Algebra Terms

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Across
  1. 4. Vertical line through the vertex.
  2. 5. One of the techniques used to solve a system of equations; uses an augmented matrix with row operations.
  3. 7. For function f(x) and divisor x-a, if f(a)=0, then x-a is a factor of f(x).
  4. 8. change in y over change in x; (f(b)-f(a))/(b-a) where a and b are x-values for a function, y=f(x); slope over an interval.
  5. 12. Undoes a function; swaps input/output roles and reflects over y=x.
  6. 13. All possible output values that result from allowed inputs; the y-values possible for all values of x in a function y=f(x).
  7. 14. Plugging one function into another; order matters.
  8. 15. A rule that assigns to each input from a set of possible inputs (domain) exactly one output from a set of possible outputs (the range); Use the Vertical Line Test to confirm.
  9. 18. Distance from zero; creates a V-shaped graph.
  10. 19. Compact way to write domains/ranges, with open/closed endpoints.
  11. 21. A set of equations that have a unique solution, no solution, or infinitely many solutions.
  12. 23. For divisor 𝑥-a, f(a) equals the remainder.
  13. 24. Output when input x=0; starting value in a context.
Down
  1. 1. Quadratic written as y=a(x−h)^2+k.
  2. 2. Used to expand a binomial to a power n; can be used with Pascal's Triangle.
  3. 3. — Quantity b^2−4ac that classifies quadratic roots.
  4. 6. A matrix that acts like multiplying by 1
  5. 9. An oval shaped graph that contains vertices, co-vertices, and foci; contains a major and minor axis.
  6. 10. Highest or lowest point on a parabola; the turning point.
  7. 11. All allowed input values, given the real-life or algebraic constraints; the x-values defined in a function of x.
  8. 16. Shift, stretch/compress, or reflect a parent function.
  9. 17. A function defined by different rules on different intervals.
  10. 19. Statement using <, ≤, >, ≥ to model caps/goals.
  11. 20. Each input (x value) has one and only one output (y value); Uses Horizontal Line Test to confirm.
  12. 22. Rate of change in a linear model; “rise over run.”