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BartSMP [9]
3 years ago
12

Determine the domain and range of the given function.

Mathematics
2 answers:
Nina [5.8K]3 years ago
4 0

Using function concepts, it is found that:

  • The domain of the function is <u>all real numbers</u>.
  • The range of the function is <u>all real numbers greater than or equal to -2.</u>

The domain of a function is the <u>set that contains all possible input values</u>. In a graph, it is the values assumed by the <u>x-axis</u>.

  • In this graph, x assumes all values from negative infinity to positive infinity, thus the domain is all real numbers.

The range of a function is the <u>set that contains all possible input values</u>. In a graph, it is the values assumed by the <u>y-axis</u>.

  • In this graph, y assumes values from -2 to positive infinity, thus the range is all real numbers greater than or equal to -2<u>.</u>

A similar problem is given at brainly.com/question/2145599

myrzilka [38]3 years ago
3 0

<em> </em><em>here </em><em>is </em><em>your</em><em> answer</em><em> </em><em>refer</em><em> to</em><em> the</em><em> attachment</em>

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The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me
iragen [17]

Answer:

a) 229 and 305 days

b) 229 days or less

c) 305 days or more

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 267

Standard deviation = 19

(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days

By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

So

267 - 2*19 = 229 days

to

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So

267 - 2*19 = 229 days

c) How long do the longest 2.5% of pregnancies last?________days or more

Explanation in b)

267 + 2*19 = 305 days

7 0
3 years ago
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