Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: graph of 3 x to the fourth, minus x cubed, plus 3 x squared, plus x minus 3. What is the average rate of change from x = 0 to x = 1?

Answers

Answer 1

Answer: For this case we have the following function:
$f (x) = 3x ^ 4 - x ^ 3 + 3x ^ 2 + x - 3$
By definition we have that the average rate of change is given by:
$AVR = (f(x2)-f(x1))/(x2-x1)$
We evaluate the function for the given interval:
For x = 0:
$f (0) = 3 (0) ^ 4 - (0) ^ 3 + 3 (0) ^ 2 + (0) - 3f (0) = - 3$
For x = 1:
$f (1) = 3 (1) ^ 4 - (1) ^ 3 + 3 (1) ^ 2 + (1) - 3f (1) = 3$
Substituting values we have:
$AVR = (3-(-3))/(1-0)$
Rewriting we have:
$AVR = (3+3)/(1-0)$
$AVR = (6)/(1)$
$AVR =6$
Answer:
the average rate of change from x = 0 to x = 1 is:
$AVR =6$

Answer 2

Answer:

Answer:

Average rat of change of function is 6 from x = 0 to x = 1.

Step-by-step explanation:

We are given a function:

$f(x) = 3x^4 - x^3 + 3x^2 + x - 3$

The attached image shows the graph for the given function.

Average rate of change of function =

$\text{Average rate of change} = \displaystyle(\delta y)/(\delta x) = (f(b)-f(a))/(b-a)$

Now we will evaluate f(1) and f(0).

$f(x) = 3x^4 - x^3 + 3x^2 + x - 3\nf(1) = 3(1)^4 - (1)^3 + 3(1)^2 + (1) - 3 = 3\nf(0) = 3(0)^4 - (0)^3 + 3(0)^2 + (0) - 3 = -3$

Putting the values, we get,

$\text{Average rate of change} = \displaystyle(f(1)-f(0))/(1-0)\n\n= (3-(-3))/(1-0) = (6)/(1) = 6$

Thus, the average rat of change of function is 6 from x = 0 to x = 1.

Related Questions

WHOEVER GETS IT FAST AND CORRECT GETS 20 POINTSA 16 ounce package of brown rice costs $1.44. What is the price per ounce?A) 6¢ B) 9¢ EliminateC) 11¢ D) 14¢
Please help me When buying a new car, you have a choice of 4 different models, 3 different colors, and either compact or family size. How many choices are there for one car? 512162417. There are 20 entries in the chess tournament. How many ways can they finish in first, second, and third place? 3406,8407,2208,350
Which amounts form part of the total cost of a mortgage
A relation is given. {(3, 4), (0, 1), (4, -6), (2, 17)} Write the domain and range. A) Domain: {3, 0, 4}; Range: {4, 1, -6} B) Domain: {3, 0, 4, 2}; Range: {4, 1, -6, 17} C) Domain: {3, 0, 4, 2}; Range: {4, 1, 17} D) Domain: {4, 1, -6, 17}; Range: {3, 0, 4, 2}
1.(1 pt) Which expression is irrational? A.Irrational Square Roots B.Irrational Square Roots C.Irrational Square Roots D.Irrational Square Roots

What is 0.07 in scientific notation?

Answers

To solve this we need to move the decimal to get greater then 1 and less then 10.
So to do this move the decimal over (the right)
Now we have 0.07 = 7x10^-2
We had to move the decimal 2 places over to get 7 and since we moved it to the right, its going to be a negative.
Your answer is
0.07 = 7x10^-2

write the following as an algebraic expression then simplify the sum of two consecutive even integers of the first integer is x

Answers

If the first of two consecutive even integers is x, then the second is two more than that, or x+2. Their sum is
x + (x+2)
In simplified form this is
2x+2

Final answer:

The algebraic expression for the sum of two consecutive even integers, where the first integer is x, is x+(x+2). This simplifies to 2x+2.

Explanation:

To express the sum of two consecutive even integers algebraically, where the first integer is x, it's important to understand that consecutive even integers increase by 2. Therefore, if x is your first even integer, the next consecutive even integer would be x+2.

To find their sum, you would simply add the two together, as follows: x+(x+2).

To simplify, combine like terms. The two 'x' terms add together to make '2x', and you're left with the '+2'. So, the simplified expression for the sum of two consecutive even integers where the first is x is 2x+2.

Learn more about Algebraic Expression here:

brainly.com/question/34192827

#SPJ2

What is 30% of a $24.50 item

Answers

Overall Answer:

$7.35

Complete answer:

30% of $24.50 is $7.35

Step-by-step explanation:

30% of a $24.50 item

Here are two ways to solve:

Option 1:

30% = 30/100 = 3/10 = 0.3

Multiply $24.50 by 0.3

24.50 * 0.3 = 7.35

Option 2:

30% = 30/100

Create an equation using fractions using the variable x

30/100 = x/24.50

Cross multiply (numerator * denominator / numerator * denominator)

30(24.50) = x(100)

735 = 100x

x = 7.35

Hope this helps :) Feel free to let me know if you need me to clarify any part of my answer.

$7.35
working:
divide by 10 to get 10%, then times 3 to get 30%

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

This function canbe represented by the quadratic equation f(x)=0.15(x+60)^2; This situation can be represented by the exponential function f(x)=60 x 1.15^x; After 7.86 years the value of the investment will be 3 times the initial value.

QUICK QUICK PLZZ! 1 MINUTE ONLY WITH SOLUTION!A shipping tube is shaped like a triangular prism. The bases are equilateral triangles with edges of 5 inches and a height of 4.3 inches. The tube is 14 inches long. Find the total surface area of the shipping tube.

253 square inches
231.5 square inches
161.5 square inches
221.75 square inches

Answers

Answer:

that is the solution to the question

Answer:

231.5 square inches

Step-by-step explanation:

i got a A ON the test

Part 2 of the last question I asked

Answers

7. Answer: +4, x ≥ 16

Step-by-step explanation:

x - 4 ≥ 12

Add 4 to both sides (to isolate the variable):

x - 4 + 4 ≥ 12 + 4

x ≥ 16

Graph has a closed dot with an arrow pointing to the right of 16.

16 ·------------→

9. Answer: x ≤ 9

Step-by-step explanation:

x - 20 ≤ -11

Add 20 to both sides of the equation:

x -20 +20 ≤ -11 +20

x ≤ 9

Graph has a closed dot with an arrow pointing to the left of 9.

←----------· 9

Other Questions

D'John saves $8 per week. Arthur saves 4 times the amount D'John saves in the same week. Write an equation that shows how to find the amount "a" Arthur saves. Then solve the equation

Whats the percent increase form $15 to $27

4x-y=7 , 4x-2y=2 Solve the equation with elimination

Hailey records the weights of five dogs of one breed and five dogs of another breed.What can she infer about the weights of Breed 1 dogs and Breed 2 dogs?Breed 1: {45, 38, 49, 52, 51}Breed 2: {36, 35, 44, 50, 40}Breed 1 dogs and Breed 2 dogs have similar weight distributions.Breed 1 dogs and Breed 2 dogs have no overlap in their weight distributions.Breed 1 dogs and Breed 2 dogs have somewhat similar weight distributions.Breed 1 dogs and Breed 2 dogs have identical weight distributions.