Find the average rate of change for the given function from x = −1 to x = 2.a  -1/3b  1/3c  -3d  3

average rate of change is the slope. You can use the two points to calculate the slope, or just use the graph and count rise over run.

rise over run is down 3 and to the right 1 = = -3

C

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3