which point is the best approximation of the relative maximum of the polynomial function graphed below?\na…

which point is the best approximation of the relative maximum of the polynomial function graphed below?\na. (-1.8, 24.5)\nb. (-2.4, 25.6)\nc. (-2.2, 25.3)\nd. (-1.2, 24.2)

which point is the best approximation of the relative maximum of the polynomial function graphed below?\na. (-1.8, 24.5)\nb. (-2.4, 25.6)\nc. (-2.2, 25.3)\nd. (-1.2, 24.2)

Answer

Explanation:

Step1: Analyze the x - coordinate of the relative maximum

Looking at the graph, the x - coordinate of the relative maximum is between - 2.5 and - 1.5.

Step2: Analyze the y - coordinate of the relative maximum

The y - coordinate of the relative maximum is between 24 and 26.

Step3: Check each option

  • Option A: (x=-1.8) (a bit to the right of the center of the x - range for the maximum), (y = 24.5) (lower end of the y - range)
  • Option B: (x=-2.4) (close to the left - end of the x - range), (y = 25.6) (higher end of the y - range)
  • Option C: (x=-2.2) (more centered in the x - range ((-2.5,-1.5))), (y = 25.3) (more centered in the y - range ((24,26)))
  • Option D: (x=-1.2) (far to the right of the x - range for the maximum), (y = 24.2) (lower end of the y - range)

Answer:

C. ((-2.2,25.3))