Unit 4: Modeling Polynomial Functions

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Across
  1. 8. A polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2), that can be combined using addition, subtraction, multiplication and division
  2. 11. A polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2), that can be combined using addition, subtraction, multiplication and division, but: no division by a variable., a variable's exponents can only be 0,1,2,3,... etc., not an infinite number of terms.
  3. 12. if the curve 'bends' downward.
  4. 13. if the value of y increases on increasing the value of x
  5. 14. The smallest value taken by the function.
  6. 16. the order in which two numbers are added/multiplied does not change the solution..
  7. 17. Expression A polynomial with two terms.
  8. 19. a function whose value decreases as the independent variable increases over a given range.
  9. 20. the coefficient of the term of highest degree in a given polynomial.
  10. 21. multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
  11. 22. The function: f(x) = a^x
  12. 24. describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches βˆ’βˆž ).
  13. 25. We define nth root of any number as the number which when taken to nth power results in the original number,
  14. 26. the number of times a solution appears in the multiset
Down
  1. 1. Any of the 4 areas made when we divide up a plane by an x and y axis, as shown.
  2. 2. The largest exponent the variable has in a polynomial with one variable.
  3. 3. A number with two components, a real number component and an imaginary number component. Complex numbers are written in the form 𝒂 + π’ƒπ’Š, where 𝒂 is the real part and π’ƒπ’Š, is the imaginary part.
  4. 4. exponents that are fractions, where the numerator is a power and the denominator is a root.
  5. 5. A value we get closer and closer to, but never quite reach
  6. 6. A symbol written above and to the right of a mathematical expression to indicate the how many times the mathematical expression (base) should be multiplied by itself.
  7. 7. Where the highest exponent of the variable (usually "x") is a square (^2).
  8. 9. how the numbers in an addition/multiplication problem are grouped doesn’t change the solution.
  9. 10. the number with an equal real part and an imaginary part equal in magnitude but opposite in sign
  10. 15. Where lines cross over each other (solution) (where they have a common point).
  11. 18. The largest value taken by the function.
  12. 23. if the curve 'bends' upward