Question

Calculate the average rate of change for the given function, from x = 8 to x = 5.


x f(x)
8 0
5 4
−5 19
negative four thirds

four thirds

negative three fourths

three fourths
Can you please help me out with this one? @jim_thompson5910

Answer 1

when x = 8, f(x) = ???

Answer 2

0

Answer 3

@jim_thompson5910

Answer 4

and when x = 5, f(x) = ???

Answer 5

4

Answer 6

@jim_thompson5910

Answer 7

so

\[\Large \frac{f(8) - f(5)}{8 - 5} = \frac{0-4}{8-5}\]

\[\Large \frac{f(8) - f(5)}{8 - 5} = \frac{-4}{3}\]

\[\Large \frac{f(8) - f(5)}{8 - 5} = -\frac{4}{3}\]

is the average rate of change

Answer 8

in other words, you divide the difference in y (f(8) and f(5) with the difference in x (8 and 5)

you subtract in the same order to make sure you have the correct sign