Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
<u>difference between y values (output)</u>
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
<u>difference between x values (input)</u>
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values

![\bf \sqrt{n}< \sqrt{2n+5}\implies \stackrel{\textit{squaring both sides}}{n< 2n+5}\implies 0\leqslant 2n - n + 5 \\\\\\ 0 < n+5\implies \boxed{-5 < n} \\\\\\ \stackrel{-5\leqslant n < 2}{\boxed{-5}\rule[0.35em]{10em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}2}](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7Bn%7D%3C%20%5Csqrt%7B2n%2B5%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bsquaring%20both%20sides%7D%7D%7Bn%3C%202n%2B5%7D%5Cimplies%200%5Cleqslant%202n%20-%20n%20%2B%205%20%5C%5C%5C%5C%5C%5C%200%20%3C%20n%2B5%5Cimplies%20%5Cboxed%7B-5%20%3C%20n%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B-5%5Cleqslant%20n%20%3C%202%7D%7B%5Cboxed%7B-5%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B3em%7D%7B0.25pt%7D2%7D)
namely, -5, -4, -3, -2, -1, 0, 1. Excluding "2" because n < 2.
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Answer:
0.125
Step-by-step explanation:
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Answer:
Period=2pi/3
Step-by-step explanation: