Question

Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answer 1

@new2luv

Answer 2

give me a minute

Answer 3

ok

Answer 4

have you learned this before

Answer 5

@az plz help

Answer 6

Plug in x = 4

and x = 6

what are the two values that you get?

Answer 7

Those are the y-values for those x-coordinates

Average rate of change is another way to say slope

So then just find the slope between those two points

Answer 8

I'll throw in colors for you

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

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

Answer 9

you would have to plug them in and then multiply am I right

Answer 10

Let's let Tyrion answer

\( f(x) = 2x^3 + 4\)

replace x with 4, what do you get?

and then when you replace x with 6, what do you get?

Answer 11

@tyrion

Answer 12

thank yall