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I am Lyosha [343]
3 years ago
6

Find the domain for the function f(x)=sqrt x^2-x+6

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

The domain is {x : x ∈ R} or (-∞ , ∞)

Step-by-step explanation:

* Lets explain how to find the domain

- The domain of the function is the values of x which make the

  function defined

- The quantity under the square root must be ≥ 0 because there is

  no square root for negative value

* Lets solve the problem

∵ f(x) = √(x² - x + 6)

∴ The value of (x² - x + 6) must be greater than or equal zero because  

   there is no square root for negative value

- Graph the function to know which values of x make the quantity

  under the root is negative that means the values of x which make

  the graph under the x-axis

∵ The graph doesn't intersect the x-axis at any point

∵ All the graph is above the x-axis

∴ There is no value of x make f(x) < 0

∴ x can be any real number

∴ The domain of f(x) is all real numbers

∴ The domain is {x : x ∈ R} or (-∞ , ∞)

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The Poisson distribution with a mean of 6.0 is an appropriate model.

<h3>What is mean?</h3>
  • In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
  • It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."
  • There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
  • Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.

Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.

learn more about mean click here:

brainly.com/question/1136789

#SPJ4

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