1.4

• Fill in the blanks.

  A) Even

  B) Even

  C) Odd

  D) Odd

  E) positive

  F) negative

  G) positive

  H) negative

  I) aₙxⁿ

  J) n

  K) aₙ

  
• extrema


  the extrema of a graph are the minimums and maximums of a function.
• relative extrema (local)

  a polynomial has a relative minimum or relative maximum where it switches between decreasing and increasing (or at an endpoint if the polynomial has a restricted domain).

  A) -4 and 0

  B) -2 and 3

  
• absolute extrema (global)

  of all local maxima, the greatest is called the absolute maximum. the least of all local minima is called the absolute minimum.

  A) 2

  B) 3

  C) None

  
• facts about polynomials

  1. between 2 real zeros of a polynomial, there must be at least one local maximum or local minimum.
  2. polynomials of even degree must have either a absolute maximum or a absolute minimum.
• point of inflection

  • occurs when a function changes from concave up to concave down OR from concave down to concave up.
  • at a point of inflection, the rate of change of a function changes from increasing to decreasing OR from decreasing to increasing