## anonymous one year ago Find the average rate of change for the given function from x = 0 to x = 4. A. -1/2 B. 1/2 C. -4 D. 4

1. anonymous

wheres the function?

2. anonymous

Can you see the picture?

3. anonymous

find the equation of the line

4. anonymous

and what formula would i use ?

5. anonymous

look at x=0 and x=4, what is the value

6. anonymous

value of y

7. anonymous

2

8. anonymous

when x=0 and y=2

9. anonymous

now when x=4 y=?

10. anonymous

0?

11. anonymous

ok so lets get the slope using is formula with point 1=(0,2) and point 2=(4,0) $m=\frac{ y_2-y_1 }{ x_2-x_1 }$

12. anonymous

|dw:1438577993101:dw|

13. anonymous

yes

14. anonymous

m is your average rate of change

15. anonymous

every 1 unit the curve moves to the right of x-axis, it goes down by -1/2 on the y-axis

16. anonymous

thank you so much

17. anonymous

we can prove it with the standard equation form $y=mx+c$$0=-\frac{ 1 }{ 2 }(4)+2$

18. anonymous

yw