Find the domain and range of the function y = √x-3 + 6

Mathematics

1 answer:

Darya [45]2 years ago

8 0

Answer:

Domain: $[3,\infty)$

Range: $[6,\infty)$

Step-by-step explanation:

I assume you mean $y=\sqrt{x-3} +6$ ?

Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because $\sqrt{3-3}+6=\sqrt{0}+6=0+6=6$ which is real.

Therefore, the domain of the function is $[3,\infty)$

As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.

Therefore, the range of the function is $[6,\infty)$

See attached graph below for a visual.

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For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98

<h3>What is a sample size?</h3>

The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

For a population mean of 20.15 and a standard deviation of 3.7

68% are within μ ± σ/√n,

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To learn more about sample size from the given link:

brainly.com/question/22927560

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