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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The range of the function in the context of the problem is D. [0, ∞)
<h3>How to compute the value?</h3>
It should be noted that the range of a function simply means the set of possible values that can be gotten from the function.
From the information, one deposit $500 into a savings account that earns interest annually. The function g(x) = 500(1.06)x can be used to find the amount of money in the savings account.
Therefore, when the number of years is represented by 0, then the value is 0 while on the other hand, it can be infinity depending on the number given.
Learn more about functions on:
brainly.com/question/25638609
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Answer:
$4,400
Step-by-step explanation:
Key: B stands for balance.
b+308=4708
b=4,708-308
b=$4,400
Step 2 I believe. You are supposed to find the absolute value before adding
Answer:
Step-by-step explanation:Determine whether each table represents a linear or nonlinear function. ... Show. YOUY work. Nonlinear; as x increases by 1, y increases by a greater amount of ... A cube has a side length of s meters. ... (Example 4) Nonlinear; sample answer: If you graph the function, the ordered pairs (side length, volume) do not lie on a.
