Solve 2|x|-1=3 and give the final answers that would make it the equations true

Remember
|x| makes x positive

so if ou have
|x|=y
assume
x=y and -x=y

so

2|x|-1=3
add 1 to both sides
2|x|=4
divide both sides by 2
|x|=2
assume
x=2
-x=2

so therefor
x=-2 and/or 2

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.