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2 years ago

What's the domain and range?

Mathematics

1 answer:

SOVA2 [1]2 years ago

3 0

The domain and the range of the graph are {-3,-2,0,2,3} and {-6,-5,-2,3,5}, respectively.

<h3>What is the domain and range of a function?</h3>

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

The domain of the given graph are the values of the x-coordinate that the function can take. Therefore, the domain of the given graph is,

Domain: {-3, -2, 0, 2, 3}

The range of the given graph are the values of the y-coordinate that the function can take. Therefore, the range of the given graph is,

Range: {-6, -5, -2, 3, 5}

Hence, the domain and the range of the graph are {-3,-2,0,2,3} and {-6,-5,-2,3,5}, respectively.

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Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

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$\text{ Sample variance} = s^2 = 125.07$

Population:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

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3 years ago

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14.59

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