Unit 3 Vocabulary

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Across
  1. 2. the set of all input values (x-values) that satisfy the given function without restriction
  2. 3. States that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then (x - a) is a factor of f(x) if f(a) = 0.
  3. 5. in a polynomial, the value of the greatest exponent
  4. 7. in a polynomial, the coefficient of the term with the highest degree
  5. 8. the mathematical method for dividing large numbers into smaller groups or parts
  6. 11. a combination of a real number and an imaginary number
  7. 13. States that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a)
  8. 16. either a constant, a variable, or a number and variable multiplied together, separated by addition or subtraction signs
  9. 17. he least value of a function for a particular interval of the function
  10. 19. a number of expression that divides another number or expression evenly with no remainder
  11. 20. States that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers.
  12. 21. the point at which the graph crosses the y-axis
  13. 22. where the value of the function f(x) decreases with an increase in the value of x
Down
  1. 1. the point at which the graph crosses the x-axis (also called the zeros)
  2. 4. the greatest value of a function for a particular interval of the function
  3. 6. a shortcut method for dividing two polynomials which can be used in place of the standard long division algorithm
  4. 9. where the value of the function f(x) increases with an increase in the value of x
  5. 10. a number that when squared gives us a negative number
  6. 12. The number of times a given factor appears in the factored form of the equation of a polynomial
  7. 14. the behavior of the graph as x approaches positive or negative infinity
  8. 15. A mathematical expression of one or more term each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power
  9. 18. the set of all outputs of a relation or function; the set of y-values for which a function is defined