kimes
Consider the function f(x) = -5 x - 2 and find the following:

b) The average rate of change between the points (a, f(a) ) and (b, f(b) ) .

c) The average rate of change between the points (x, f(x) ) and (x+h, f(x+h) ) .

Question

kimes
Consider the function f(x) = -5 x - 2 and find the following:

b) The average rate of change between the points   (a, f(a) )   and   (b, f(b) ) . 


c) The average rate of change between the points   (x, f(x) )   and   (x+h, f(x+h) ) .

jhannybean · Answer

Already helped you find these.

anonymous · Answer

i know, can you check my answers?

anonymous · Answer

cause i got (-5b+5a)/b-a for b) and f for c)

jhannybean · Answer

$$b. \ m=\frac{f(b)-f(a)}{b-a} = \frac{(-5b-2)-(-5a-2)}{b-a} = \frac{-5b+5a}{b-a}\qquad \checkmark $$ $$c. \m= \frac{f(x+h)-f(x)}{h} =\frac{-5(x+h)-2-(-5x-2)}{h} = \frac{-5x-5h-2+5x+2}{h} \ m=\frac{-5h}{h} = -5 \qquad \color{red}{X}  $$