The period of the graphed function is T = 8.
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How to get the period?</h3>
For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
If you want to learn more about period.
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You will regroup :) I hope that helped, btw the explanation is in the picture
Idk yet but i'll find out
x = –5 or x = 3
Solution:
Given expression:
![|-1-x|=4](https://tex.z-dn.net/?f=%7C-1-x%7C%3D4)
![\Rightarrow |-x-1|=4](https://tex.z-dn.net/?f=%5CRightarrow%20%7C-x-1%7C%3D4)
⇒ –x – 1 = 4 or –x – 1 = 4
First take –x – 1 = 4.
Add 1 on both side of the equation.
⇒ –x – 1 + 1 = 4 + 1
⇒ –x = 5
Divide by –1 on both side of the equation, we get
⇒ x = –5
Now take –x – 1 = –4.
Add 1 on both side of the equation.
⇒ –x – 1 + 1 = –4 + 1
⇒ –x = –3
Divide by –1 on both side of the equation, we get
⇒ x = 3
x = –5 or x = 3
Hence the two values of x are –5 or 3.