Question

math problem

Answer 1

Given the graph of the function f(x) shown below, find the average rate of change of the function f(x) on the interval [5,15].

Answer 2

@AZ

Answer 3

@snowflake0531

Answer 4

same thing, we have to find the slope

what is the y-value when x = 5

and when x = 15?

Answer 5

20?

Answer 6

60 and 20?

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @iuytyuioiuytyuiop
60 and 20?
\(\color{#0cbb34}{\text{End of Quote}}\)

Good

so now

\(\Large\text{Slope} = \dfrac{\color{green}{y_2} - \color{orange}{y_1}}{\color{cyan}{x_2}-\color{red}{x_1}}\)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{cyan}{x_2}, \color{green}{y_2})\)

So your two points are

\((\color{red}{5}, \color{orange}{60})\) and \((\color{cyan}{15}, \color{green}{20})\)

Answer 8

so what is

(20-60) / (15-5)

Answer 9

-4?

Answer 10

yup, so that's your average rate of change between 5 to 15