Question

What is the average rate of change from x = –1 to x = 1?

Answer 1

1 is average

Answer 2

how

Answer 3

i was thinking 2

Answer 4

the question is incomplete

Answer 5

yes im sorry I was thinking adding what are the choices?

Answer 6

there should be a graph or a function
average rate of change means slope
first of all find y values when `x=-1 and x=1` then use the slope formula \[\huge\rm \frac{ y_2-y_1 }{ x_2-x_1 }\]

Answer 7

Good job Nnesha

Answer 8

graph of parabola going through negative 1, 1, and 1, negative 3

Answer 9

that's the graph

Answer 10

alright so order pair (-1,1) and (1,3)
\[( \color{Red}{-1},\color{blue}{1})(\color{red}{1},\color{blue}{3}) \]
\[\rm (\color{Red}{x_1},\color{blue}{y_1})(\color{reD}{x_2},\color{blue}{y_2})\]

Answer 11

substitute x's and y's with these values \[\large\rm \frac{ y_2- y_1 }{ x_2-x_1 }\]
x_1=-1
x_2=1
y_1=1
y_2=3

Answer 12

would the first be -1

Answer 13

would the answer be 4

Answer 14

how did you get 4 ?

Answer 15

subtract y values
subtract x values
and then divide y/x what would you get ?

Answer 16

i got 2 but it was wrong

Answer 17

You should get -2. Did you follow Nnesha's work?

Answer 18

\[\huge\rm (\color{red}{-1},\color{blue}{1})(\color{orange}{1},\color{green}{-3})\]\[\huge\rm (\color{red}{x_1},\color{blue}{y_1})(\color{orange}{x_2},\color{green}{y_2}) \]
\[\huge\rm \frac{\color{green}{ y_2}-\color{blue}{y_1} }{\color{orange}{ x_2}-\color{red}{x_1} }\]

\[\huge\rm \frac{\color{green}{- 3}-\color{blue}{1} }{\color{orange}{ 1}-\color{red}{(-1)} }=\frac{-3-1}{1+1}=\]

Answer 19

ahh i see sorry i forgot the negative sign