What is the range for the function y = 1/x if the domain = -5to5 ?

Answer 1

Remember that the range is the possible answers you can get for y, given that x is restricted to being between -5 and 5.

Since 1/x goes to negative infinity as x approaches zero from the left, and positive infinity as x approaches zero from the right, the range is:

(-inf, -1/5] U [1/5, inf)

Another way to write this would be:

"All real numbers EXCEPT numbers between -1/5 and 1/5."

To see this, pick a number really close to zero, and check it on both sides:

y = 1/(1/100,000) = 100,000
y = 1/(-1/100,000) = -100,000

Answer 2

the curve never touches the y
or the x axes,so the range is
plus or minus infinity including
-1/5 and 1/5,but excluding all
real numbers greater than
-1/5 and less than 1/5

range:
[-infinity,-1/5] U [1/5,+infinity]

i hope that this helps,since
x approaching plus or minus
zero is in the domain -5 to
+5

Answer 3

-1/5 <= y < 0 and 0 < y <= 1/5 should be your range.

Answer 4

You have to sub in -5, -4 etc. for x.

This is because x = domain and y = range.

So, to figure out the first one.

y = 1/-5
y = .2

.2 will be the first value for the range, corresponding to -5 on the domain.

next:

y = 1/-4

and so on.

Answer 5

y= 0.2 to 5