1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
In-s [12.5K]
2 years ago
15

Match the average rates of change of f(x) to the corresponding intervals.

Mathematics
1 answer:
spin [16.1K]2 years ago
6 0

The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1

Download xlsx
You might be interested in
Suppose A and B represent two different school populations where A &gt; B and A and B must be greater than 0. Which of the follo
Virty [35]
<span>A+B)^2 is the largest.  It is A^2+2AB+B^2, which is clearly greater than the last two options.  To compare (A+B)^2 and 2(A+B), we remove one A+B so that we're just comparing A+B and 2.  As A+B must be at least 3 (as both must be positive integers, and one must be greater than the other, leading to a minimum value of A=2, B=1), A+B is greater than 2, and as a result, (A+B)^2 is always the largest.</span>
6 0
3 years ago
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B1221%20%5Ctimes%201221%7D%20" id="TexFo
densk [106]

Answer:

1221\sqrt{x}

Step-by-step explanation:

1221 x 1221 = 1490841

square root of 1490841 is 1221

8 0
3 years ago
Read 2 more answers
Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1
Serggg [28]

Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

4 0
3 years ago
Find the variable 5x+8=3x
murzikaleks [220]

Answer:

-4 =x

Step-by-step explanation:

5x+8=3x

Subtract 5x from each side

5x-5x+8=3x-5x

8 = -2x

Divide by -2

8/-2 = -2x/-2

-4 =x

6 0
3 years ago
Read 2 more answers
Use the following figure to answer the question.
Mkey [24]

Answer:

corresponding

Step-by-step explanation:

because they are in the same place on both intersections. now if u ask me doggo deserve breinliest pwease ;-;

4 0
2 years ago
Read 2 more answers
Other questions:
  • -2 (-7k + 4) + 9 = -13
    8·2 answers
  • Which values have exactly three significant figures? Check all that apply.
    8·2 answers
  • ► What is the mean of the following data set? 98, 208, 189, 94, 117 ​
    9·2 answers
  • Next week, Josephine wants: to spend the same total amount of time, but practice the same number of hours each of the 4 days. Ho
    13·2 answers
  • What is the total cost of a $95.00 item with a sales tax of 6%
    14·2 answers
  • The following rule is used to work out the total cost, in cunos, ofhings
    6·1 answer
  • Evaluate f(2): <br>f(x)=3x+1<br>Your answer: 11, 9, 7​
    9·2 answers
  • What is the answer to this problem?
    13·1 answer
  • Help please in need help help
    7·2 answers
  • =
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!