Domain is ur x values
y = 2x...when x = -1
y = 2(-1)
y = -2.....(-1,2) satisfies this equation
y = 2x....when x = 0
y = 2(0)
y = 0....(0,0) satisfies it
y = 2x....when x = 1
y = 2(1)
y = 2....so (1,2) satisfies it
y = 2x....when x = 2
y = 2(2)
y = 4....(2,4) satisfies it
y = 2x...when x = 3
y = 2(3)
y = 6.....(3,6) satisfies it
y = 2x...when x = 4
y = 2(4)
y = 8.....(4,8) satisfies it
So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little.
The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d
a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1.
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.
The range (y-values) is then just the amplitude -2 ≤ y ≤ 2
The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions.
2π / |b| = period, distance per wave
this equation b = 4
period is then π/2
this is the distance before a wave repeats.
Graph
x | y
-π/8 -2
0 0
π/8 2
3π/8 -2
5π/8 2
see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2 then using the x-distance between like points is the period so you add π/2
(π/8 , 2)
+ π/2
(5π/8 , 2)
Same for the minumums of the wave (y = -2)
(-π/8 , -2)
+ π/2
(3π/8 , -2)
Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com
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Growth means a base for exponentiation bigger than 1 (in absolute value), otherwise it's decay.
Only the first choice has a base biggerthan 1. The last choice is equivalent to 
so has a base less than 1.
Answer: A
Answer:
nice
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find midpoints of AC and BD using midpoint formula. If they both have the same coordinates then they intersect eachother at the same point !
