Question

What is the average rate of change of the function f(x) = - 3x + 5 over the interval x = - 1 to x = 1 ?

Answer 1

Answer:

average rate of change = -3

Step-by-step explanation:

given,                      

f(x) = - 3 x + 5                

f(1) = - 3 (1) + 5                

f(1) = 2                              

f(-1) = - 3 (-1) + 5              

f(-1) = 3 + 5                      

f(-1) = 8                                        

average rate of change                        

              $= \dfrac{f(-1)-f(1)}{-1-1}$

              $= \dfrac{8-2}{-1-1}$

              $= \dfrac{6}{-2}$  

                     = -3

Answer 2

Answer:-3

Step-by-step explanation:

Given

F(x)=-3 x +5

in the interval x=-1 to x=1

Average rate of change is given by $=\frac{F(b)-F(a)}{b-a}$

over x=a to x=b

F(1)=-3+5=2

F(-1)=3+5=8

Thus average rate of change$=\frac{2-8}{1-(-1)}=-3$