College Algebra

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Across
  1. 4. the horizontal axis on a graph
  2. 5. y=mx+b
  3. 8. The Fundamental Theorem of _____: Suppose f is a polynomial function with complex number coefficients of degree n 1, then f has at least one complex zero.
  4. 10. The ______ of a complex number a+bi is the number a-bi.
  5. 11. Functions f and g are ______ if and only if...(f(g(x))=x for all x in the domain of f
  6. 12. A _____ number is a number of the form a+bi,where a and b are real numbers.
  7. 15. where the graph crosses the y-axis
  8. 21. the square root of a negative number is an _____ number
  9. 24. the set of the X values of the points of a function
  10. 25. write the domain in ____ notation
  11. 27. A set of points in the plane represents y as a function of x if and only if no two points lie on the same vertical line.
  12. 30. The composite of g with f, denoted g ○ f is defined by the formula (g ○ f)(x) = g(f(x)).
Down
  1. 1. f(x+h)-f(x)/h
  2. 2. b^2-4ac
  3. 3. _____ as rate of change...m=Y/X
  4. 6. If a factor in the denominator of a rational function cancels with a factor in the numerator, then the factor’s zero will be the location of a ____ in the graph of the function.
  5. 7. The value b is called the Absolute _____ of f if b≥ f(x) for all x in the domain of f.
  6. 9. the _____ of a zero, c, is the number of times that its associated factor,(x − c), is in the polynomial.
  7. 13. where the graph crosses the x-axis
  8. 14. testing points to see if they are positive or negative within an interval by creating a number line is called a ___ diagram
  9. 16. The ___ of a function f are the solutions to the equation f(x) = 0. In other words, x is a zero of f if and only if (x, 0) is an x-intercept of the graph of y = f(x).
  10. 17. −b±√(b^2−4ac) / 2a
  11. 18. The value b is called the Absolute _____ of f if b≤ f(x) for all x in the domain of f.
  12. 19. the set of the Y values of the points of a function
  13. 20. Find the coefficient with the largest absolute value. Divide this value by the absolute value of the leading coefficient. Call this number M. All real zeros lie in the interval [-(M+1),(M+1)].
  14. 22. the vertical axis on a graph
  15. 23. the shape of the graph of a quadratic is this
  16. 26. A relation in which each x-coordinate is matched with only one y-coordinate is said to describe y as a ____ of x.
  17. 28. a set of points in the plane.
  18. 29. A _____ function is a polynomial function divided by another polynomial function,