Across
- 4. the horizontal axis on a graph
- 5. y=mx+b
- 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.
- 10. The ______ of a complex number a+bi is the number a-bi.
- 11. Functions f and g are ______ if and only if...(f(g(x))=x for all x in the domain of f
- 12. A _____ number is a number of the form a+bi,where a and b are real numbers.
- 15. where the graph crosses the y-axis
- 21. the square root of a negative number is an _____ number
- 24. the set of the X values of the points of a function
- 25. write the domain in ____ notation
- 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.
- 30. The composite of g with f, denoted g ○ f is defined by the formula (g ○ f)(x) = g(f(x)).
Down
- 1. f(x+h)-f(x)/h
- 2. b^2-4ac
- 3. _____ as rate of change...m=Y/X
- 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.
- 7. The value b is called the Absolute _____ of f if b≥ f(x) for all x in the domain of f.
- 9. the _____ of a zero, c, is the number of times that its associated factor,(x − c), is in the polynomial.
- 13. where the graph crosses the x-axis
- 14. testing points to see if they are positive or negative within an interval by creating a number line is called a ___ diagram
- 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).
- 17. −b±√(b^2−4ac) / 2a
- 18. The value b is called the Absolute _____ of f if b≤ f(x) for all x in the domain of f.
- 19. the set of the Y values of the points of a function
- 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)].
- 22. the vertical axis on a graph
- 23. the shape of the graph of a quadratic is this
- 26. A relation in which each x-coordinate is matched with only one y-coordinate is said to describe y as a ____ of x.
- 28. a set of points in the plane.
- 29. A _____ function is a polynomial function divided by another polynomial function,