Question

for the given function, compute the average rate of change f(x2)-f(x1)/x2-x1 with x1= a and x2 = a+h
1) f(x) = 7-2x

Answer 1

\(f\) is a line, and the average rate of change of a line is a constant, it is the slope

Answer 2

what you are being asked for is the slope of \(y=7-2x\)

Answer 3

how do i compute that in the x1 and x2 equations? I dont really get this concept

Answer 4

the slope of \(y=7-2x\) is \(-2\)

Answer 5

you are supposed to write
\[\frac{f(a+h)-f(a)}{a+h-a}\] or\[\frac{7-2(a+h)-(7-2a)}{h}\]

Answer 6

when you clean up the numerator after some algebra, you will end up with
\[\frac{-2h}{h}=-2\]

Answer 7

ok, thank you!