What is the range of the function y= 2sinx
2 answers:
<h2>
Answer:</h2>
The range is (-2,2)
<h2>
Step-by-step explanation:</h2>
The range of sinx is 1<inx<1 or −1<y<1
It implies,
−2<2sinx<2
This means that the range of y=2sinx is −2<y<2
The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.
y=−2
The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.
y =2 The range is −2≤y≤2.
<h2>Hello!</h2>
The answer is: [-2,2]
<h2>
Why?</h2>
The range of a function shows where the function can exist in the y-axis.
To know the range of the function, we have to isolate x,
So

The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.
Therefore,
The range of the function is [-2,2]
Have a nice day!
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