Question

URGENT PLEASE HELP

Answer 1

Average rate of change = slope = (5-3)/(-1-1)=2/-2=-1

Answer 2

Answer

Average rate of change (A(x)) for the function y=f(x) over interval [a, b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$

As per the statement:

x y

-1      5

1       3  

4      0

To find the average rate of change for the given function from x = −1 to x = 4.

At x = -1

⇒y = 5

and

At x = 4 ,

⇒y = 0

Substitute these values we have;

$A(x) = \frac{f(4)-f(-1)}{4-(-1)}=\frac{f(4)-f(-1)}{5}$

⇒$A(x) = \frac{0-5}{5} = \frac{-5}{5} = -1$

Therefore, the average rate of change for the given function from x = −1 to x = 4 is, -1