Question

please help
will medal
which of the functions have a range of all real numbers choose all that apply
a y=secx
B y=tan x
C y=cot x
D y=csc x

Answer 1

lets start with the first graph
y = sec x
https://www.desmos.com/calculator/r0pk0fnx7h

Answer 2

does that have range all real numbers?

Answer 3

i think so

Answer 4

nope, it is missing y values between -1 and 1

Answer 5

oh ok i see it

Answer 6

@perl

Answer 7

@dtan5457 @DanJS

Answer 8

hi

Answer 9

The range, is the y values for each of these graphs, which ones stretch out to + and - infinity in the y-direction?

Answer 10

tangent for example, does have undefined values at multiples of every 90 degrees, that is in the x direction, the y direction however, goes off to + and - infinity when you approach each of those 90 degree intervals.
So the tangent functions range is all real numbers.

Answer 11

B and C

Answer 12

right, the cotangent will look very similar to the tangent, and have all real values for the range too.

Answer 13

Did you graph all these?

Answer 14

yes

Answer 15

do you see why, as shown above, the secant and cosecant function , doesn't have every value covered in the Y direction?

Answer 16

yes

Answer 17

cool, then you have it?

Answer 18

yes its b and c right

Answer 19

correct