Question

Which function has the range (-infinity, -2]U[0,infinity)

Answer 1

a) y= cos(x+1)
b) y= sec(x) +1
c) y= csc(x) -1
d) y= cot(2x)-1

Answer 2

Can you tell what range is for a?

Answer 3

all real numbers except multiples of pi?

Answer 4

i think its either b or c im just not sure which

Answer 5

None, Do you know what graph of \(\cos(x+1)\) looks like?

https://www.desmos.com/calculator/vhsoioyx9j

Range is \([-1,1]\), right?

Answer 6

right

Answer 7

What about b? do you know what is range of sec(x)?

Now what's range of sec(x)+1?

Answer 8

(-infinity, -1]U[1, infinity)

Answer 9

Yeah, that's range of sec(x)

sec(x)+1 is same except that it is moved 1 unit up.

So new range would be (-infinity, 0]U[2, infinity)

Answer 10

So now you can tell that answer is C.

Answer 11

ohhh

Answer 12

thank you!!

Answer 13

Great, glad I helped!

Answer 14

no its b i know

Answer 15

1) No it's not b. See here: https://www.desmos.com/calculator/pb951bcx8d

2) This is 5 months old question. What are you doing here anyway?

Answer 16

it is c