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This table shows values represented by an exponential function.

What is the average rate of change for this function for the interval from x=1 to x=3?

(Yes, I know I am giving a lot of points for this.)

This table shows values represented by an exponential function What is the average rate of change for this function for the interval from x1 to x3 Yes I know I class=

Respuesta :

mhanifa

Answer:

  • 12

Step-by-step explanation:

Average rate of change from x = 1 to x = 3 is:

  • difference of y-values / difference of x-values =
  • ('y at x = 3' - 'y at x = 1') / ( 3 - 1) =
  • (27 - 3) / 2 =
  • 24/2 =
  • 12

Points are

  • (1,3)
  • (3,27)

Rate of change means we need to find slope

[tex]\\ \sf\longmapsto \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{27-3}{3-1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{24}{2}[/tex]

[tex]\\ \sf\longmapsto 12[/tex]