Question

The average rate of change from 6 to 7 is ?
Given h(x)=x^2-7x

Answer 1

Let's graph the equation!

Answer 2

Let's actually look at what the points are at x = 6 and x = 7

Answer 3

So Solve for h(6) and h(7)

Answer 4

how to do?

Answer 5

This will give you the information for two coordinates, one for (6, h(6)) and (7, h(7))

Answer 6

Ok well, h(6) will be,

h(6) = (6)^2 - 7(6)

This will show you what the y-value is at x = 6

Answer 7

We are doing this so that we can see what the graph is at x = 6 and x = 7 so we can find the slope of the line from 6 to 7 and establish what the average rate of change (slope) is from x = 6 to 7. See?

Answer 8

i think so

Answer 9

Find h(6), which is -6, this means that at x = 6, y is equal to -6.

This gives us the point (6, -6)

Answer 10

Do the same for h(7) for me, and let me know what you get.

You are doing this to see what "y" is when x = 7, that is what h(7) means in; h(x) = x^ - 7x

Answer 11

so isnt h give us the poin (7,-7)?

Answer 12

Then you will have a second coordinate, where x = 7.

Find the slope from the first coordinate (6, -6) to the new one,