Let f be a differentiable function with selected values given in the table above. What is the average rate of change of f over the closed intervals 0<_ x <_10?

B

Step-by-step explanation:

The average rate of change is synonymous with the slope.

So, essentially, we want to find the average slope of our function f(x) from x=0 to x=10.

So, we will use the two following points: (0,5) and (10, -20).

Recall the slope formula:

Let (0, 5) be (x₁, y₁) and (10, -20) be (x₂, y₂). Substitute. This yields:

Subtract and reduce:

So, the average slope of f(x) between x=0 and x=10 is -5/2.

Our answer is B.

And we're done!

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x