16.7k views
1 vote
Given the function defined in the table below, find the average raise of change, in simplest form, of the function over the interval 4< x <8

Given the function defined in the table below, find the average raise of change, in-example-1
User Disruptive
by
8.5k points

1 Answer

4 votes

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.


(\stackrel{x_1}{4}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{15}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{15}-\stackrel{y1}{13}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{4}}} \implies \cfrac{ 2 }{ 4 } \implies \cfrac{1 }{ 2 }

Given the function defined in the table below, find the average raise of change, in-example-1
User Perfume
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories