which of the following statements are true about graphs of polynomial functions? check all that apply. the…

which of the following statements are true about graphs of polynomial functions? check all that apply. the local maximum and local minimum always occur at a turning point. the local maximum is the x - value of the coordinate at that point. the ends of an even - degree polynomial either both approach positive infinity or both approach negative infinity. done

which of the following statements are true about graphs of polynomial functions? check all that apply. the local maximum and local minimum always occur at a turning point. the local maximum is the x - value of the coordinate at that point. the ends of an even - degree polynomial either both approach positive infinity or both approach negative infinity. done

Answer

Brief Explanations:

  1. A turning - point of a polynomial function is a point where the function changes from increasing to decreasing or vice - versa, so local maxima and minima occur at turning points.
  2. The local maximum is the y - value of the coordinate at that point, not the x - value.
  3. For an even - degree polynomial (y = a_nx^n+\cdots+a_0) ((n) even), if (a_n>0), as (x\to\pm\infty), (y\to+\infty); if (a_n < 0), as (x\to\pm\infty), (y\to-\infty).

Answer:

The local maximum and local minimum always occur at a turning point. The ends of an even - degree polynomial either both approach positive infinity or both approach negative infinity.