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
hoa [83]
3 years ago
15

Why do we choose -2, -1, 0 , 1, 2 for the x values?

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

  In many cases, the function is easily evaluated and/or graphed for those x-values.

Step-by-step explanation:

We are usually interested in x-values that relate to the problem at hand. In many cases, the functions we study are graphed on a coordinate plane that includes the origin and a few numbers in every direction. That is, x-values of -2, -1, 0, 1, 2 are right in the middle of the graph we want to create.

Another reason for choosing small values of x is that we may want to raise these values to some power (as for evaluating a polynomial). Many of us have memorized the first few powers of the first few integers, so using small integers makes the evaluation easier.

___

That is not always the case. Some functions may not be defined for negative values of x, or those values may not exist in the "practical domain" of the function. Trigonometric functions may be more easily evaluated for multiples of π/6, instead of small integers. Other functions may be scaled or offset so that small integer values of x are of no interest.

You might be interested in
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house
LuckyWell [14K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for n instances of a normal variable, the mean is n\mu while the standard deviation is s = \sigma\sqrt{n}.

In this problem:

  • Mean of 4 candies, hence \mu = 4.
  • Standard deviation of 1.5 candies, hence \sigma = 1.5.
  • She visited 35 houses, hence n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3

The probability is the <u>p-value of Z when X = 122</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

6 0
3 years ago
Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?
zubka84 [21]

Answer:

3

X is slope but the equation isnt set up proper

12x-4y=3

-12x -12x

-4y=-12x+3

/-4 /-4

y= 3x+3/-4

8 0
3 years ago
Read 2 more answers
Referring to the figure, find the volume of the solid shown. Round to the nearest whole number. Will mark brainliest...
nirvana33 [79]

Answer:

648

Step-by-step explanation:

FInd volume of bottom half (9x6x12)

find voume of pyramid 1/3Bh 1/3(11)(54)

4 0
3 years ago
A normal curve with a mean of 500 and a standard deviation of 100 is shown. Shade the region under the curve within one standard
Triss [41]

Answer:

The region between one standard deviation from the mean is (400,600) which should be 68.27% of the data.

Step-by-step explanation:

The mean of this data set is 500 and the standard deviation is 100. The data that are within one standard deviation of the mean, must be in the range between 400 and 600, which according to the normal curve should be about 68.27% of the samples. The shaded region is shown in red on the attached figure.

8 0
3 years ago
[tex]\int\limits^a_b {x}2 \, dx
Zarrin [17]
Answer:

?

Explanation:

What?
8 0
3 years ago
Other questions:
  • Membership in an elite organization requires a test score in the upper 30% range. If the mean is equal to 115 and the standard d
    10·1 answer
  • FAST PLEASE‼️‼️‼️ SHOW ALL WORK‼️‼️‼️ EASY‼️‼️‼️‼️
    14·1 answer
  • Which term describes the segment in which two faces of a polyhedron meet?
    13·2 answers
  • 15. What is the solution to 3x - 52 28?
    5·1 answer
  • The are six cards in box. 2 of them are blue and 4 are red. You randomly draw one card.
    9·2 answers
  • Sort data from least to greatest
    10·1 answer
  • Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?
    7·2 answers
  • What is the slope of the linear function of (6 , 2) (9 , 8)
    12·1 answer
  • I need help with this please
    6·1 answer
  • A point has the coordinates (m, 0) and m ≠ 0.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!