All categories

2 years ago

What is the average rate of change of f(x), represented by the graph, over the interval [-2, 2]?

Mathematics

2 answers:

irina [24]2 years ago

7 0

On plato the answer is D=0

Molodets [167]2 years ago

5 0

To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)

From the graph
f(2) = 4
f(-2) = 4

Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0

The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.

You might be interested in

Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and

charle [14.2K]

Answer:

w1 = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

Step-by-step explanation:

Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)

Let <a,b,c> be direction ratio of w2.

Then, <a,b,c>. <1,-1,3> = 0

a-b+3c = 0

v = w1 + w2

(1, 2, 0) = k(1, -1, 3) + (a, b, c)

a + k = 1

b - K = 2

c - 3k = 0

Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11

So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

6 0

1 year ago

2-8 Examine the function h(x) defined at right. Then estimate the values Below.

Arada [10]

We are given graph of the function.

Let us do given parts one by one.

a) h(1).

Here, we need to find the value of function (y-coordinate) for x=1.

From the given graph, we can see the for x=1 value of y is 2.

Therefore, h(1)=2.

b) h(3).

Here, we need to find the value of function (y-coordinate) for x=3.

From the given graph, we can see the for x=3 value of y is -4.

Therefore, h(3)=-4.

c) x when h(x) =0.

Here, we need to find the value of x-coordinate for y=0.

From the given graph, we can see the for y=0 value of x is also 0.

Therefore, x=0 when h(x)=0.

d) h(-1).

Here, we need to find the value of function (y-coordinate) for x=-1.

From the given graph, we can see the for x=-1 value of y is -2.

Therefore, h(-1)=-2.

e) h(-4).

Here, we need to find the value of function (y-coordinate) for x=-4.

From the given graph, we can see the for x=-4 value of y is 13.

Therefore, h(-4)=13.

5 0

2 years ago

In the diagram of circle o, what is the measure of ABC? 27° 54° 108° 120°

Vlad1618 [11]

Given:

Given that a circle O with two tangents BA and BC.

The major arc AC is 234°

The minor arc AC is 126°

We need to determine the measure of ∠ABC

Measure of ∠ABC:

We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."

Hence, applying the above property, we have;

$\angle ABC=\frac{1}{2}( major \widehat{AC} - minor \widehat{AC})$

Substituting the values, we get;

$\angle ABC=\frac{1}{2}( 234^{\circ} -126^{\circ})$

$\angle ABC=\frac{1}{2}( 108^{\circ})$

$\angle ABC=54^{\circ}$

Thus, the measure of ∠ABC is 54°

Hence, Option b is the correct answer.

5 0

2 years ago

Together Mary, Jane, and Ruth received $30. Mary received $6, Jane received $9, and Ruth received $15. What percent of the $30 d

Likurg_2 [28]

Hey there! :D

So, we know that Jane received $9 out of the $30.

Divide 9 by 30.

9/30= .3

Turn that into a percentage.

.3= 30%

We can check this by finding the other percentages.

Ruth= 15 15/30= .5 50%

Mary= 6 6/30= .2 20%

30%+20%+50%= 100% <== this works

I hope this helps!
~kaikers

8 0

2 years ago

Read 2 more answers

A researcher is investigating variables that might be associated with the academic performance of high school students. She exam

zloy xaker [14]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

5 0

2 years ago

﻿﻿What is the average rate of change of f(x), represented by the graph, over the interval [-2, 2]?

What is the average rate of change of f(x), represented by the graph, over the interval [-2, 2]?