All categories

3 years ago

Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2+2x-2, from x=-1 to x=1

1 answer:

6 0

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^4+3x^3-5x^2+2x-2 \qquad 
\begin{cases}
x_1=-1\\
x_2=1
\end{cases}\implies \cfrac{f(1)-f(-1)}{1-(-1)}
\\\\\\
\cfrac{[1+3-5+2-2]~~-~~[1-3-5-2-2]}{1+1}\implies \cfrac{[-1]~~-~~[-11]}{2}
\\\\\\
\cfrac{-1+11}{2}\implies \cfrac{10}{2}\implies 5$

You might be interested in

Can someone help me with this please???

AysviL [449]

Answer:

diarrhea

Step-by-step explanation:

6 0

3 years ago

Write the equation of the line that passes through the points (2, 1) and (-8, -8).

wariber [46]

Answer:

Step-by-step explanation:

Find the distance between the given points: (-7, 5) and (-8, 4)

6 0

2 years ago

The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The fun

ololo11 [35]

21
18=0.86x - 0.09 Put 18 as the y value and solve for x
18.09=0.86x Add 0.09 on both sides.
21.03=x Then divide on both sides by 086

7 0

3 years ago

Read 2 more answers

PLS ANSWER CORRECTLY AND FAST I NEED TO SUBMIT PLS HELP PLS PLS PLS PLS......

astra-53 [7]

Step-by-step explanation:

vector AB(3-(-6); 5-7)

vector AB(9;-2)

AB= $\sqrt{9^{2}+(-2)^{2} }$ = $\sqrt{85}$

M is the midpoint of AB

we have B(-5;10) and M(1;7)

let A(x;y)

(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7

(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4

so : A(7;4)

the center of the circle is the midponit of the line joining both ends of the diameter

let A(x;y) be the other end

(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6

(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7

so the coordinates of the other end are (6; -7)

A,B and C are collinear such as AB=BC so b is the midpoint of AC

(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2

((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17

so x= 17 and y = -2

7 0

2 years ago

A line passes through the point (0, 0) and has a rise over run ratio of 4/3. Give two other points that the line passes through

Sergio [31]

Answer:

(3,4) and (6,8).

Step-by-step explanation:

Rise is equal to y and run is equal to x. If the fraction is 4/3, y is equal to 4 and 3 is equal to x. 3 across is 3 and 4 upwards is 4. Just keep adding 3,4 to get the following points the line passes through. Since we need two points, 3,4 and 6,8 would be the appropriate answers.

8 0

3 years ago

Read 2 more answers