Across
- 4. suppose f is a polynomial function with real number coefficient, then f(x)can be factored into a product of linear factors corresponding to the real zeros of f and irreducible quadratic factors which give non real zeros to f
- 8. a set of points in the plane represents y as a function of x if and only if no two points lie one the same vertical line
- 9. if f is a polynomial function with real number coefficients and z is a zero of f then so is the inverse of z
- 13. a set of points in a plane
- 14. a process by which each input x is matched with only one output y
- 15. If we divide a polynomial p(x) by a polynomial d(x), we get unique quotient and remainder polynomials
- 18. solutions to the equation f(x)=0
- 19. the thing under the square root symbol of the quadratic formula
- 20. a function f is invertible if and only if it is one-to-one and passes the horizontal line test
- 21. when p(x) is divided by (x-c), the remainder is p(c)
- 22. (f/g)(x)=f(x)/g(x)
- 25. a function f is one-to-one if and only if no horizontal line intersects the graph of f more than once
- 26. suppose f is a polynomial function with complex number coefficients n≥1, then f has at least one complex zero
- 28. y-y1=m(x-x1)
- 29. (fg)(x)=f(x)g(x)
- 30. all polynomials can be factored with complex numbers
Down
- 1. y=mx+b
- 2. rate of change
- 3. f(x)=a(x-h)^2+k
- 5. a set of numbers from a function is given witho
- 6. ax^2+bx+c
- 7. the composite of g with f
- 10. The set of the y-values of the points of F
- 11. the real number c is a zero of the polynomial p(x) if and only if (x-c) is a factor of p
- 12. a polynomial function divided by another polynomial function
- 16. the set of the x-values of the points of F
- 17. all possible rational zeros of a polynomial
- 23. (f+g)(x)=f(x)+g(x)
- 24. (f-g)(x)=f(x)-g(x)
- 27. a function f is said to be one-to-one if it matches different inputs with different outputs