Question

What is the range of y = 2sin(x) + 1?

Answer 1

What do you think the minimum value of this function is? And what about the maximum value?

Answer 2

-4 and 4?

Answer 3

No. Let's start with what the maximum and minimum value of \(y = sin(x)\) are?

Answer 4

if u know the range of sinx u can do it easily

Answer 5

-1 ≤ y ≤ 1

Answer 6

now multiply with 2 on all sides. wat do u get ??

Answer 7

dont use "y". use sinx itself since "y" is already there in the question

Answer 8

-2 ≤ y ≤ 2

Answer 9

dont forget y = sinx here . now add 1 on all sides

Answer 10

range is 1-<=y<=3

Answer 11

-1<y<3

Answer 12

thanks