Question

Range of 5/(x-3)

Answer 1

its got a va at 3 so id assume the range is all up and down

Answer 2

except for 0 maybe

Answer 3

The horizontal asymptote is y = 0, so this is the only output value that y cannot equal is 0


So the range is the set of all real numbers but y cannot equal 0

Answer 4

kinda hard to equal 0 when you got a constant up top :)

Answer 5

no, if the degree of the denominator exceeds the degree of the numerator, then the horizontal asymptote is always y = 0

Answer 6

I'm not doing equating of any kind, I'm finding the horizontal asysmptote

Answer 7

well yeah, if you wanna go by rules and not logic...

Answer 8

.... that was peculiar statement; since the rules are founded on logic ;)

Answer 9

5/x = 0 when 5 = 0, so never

Answer 10

did asymptotes last year and cannot remember them. how do you fing the horizantal asymptote

Answer 11

logically, this is explained by the fact that the degree has a higher rate of growth, so as x approaches infinity, the denominator will be much much larger than the numerator

So this means we'll have a very small fraction (when x --> oo)

Answer 12

ideally, calculus is needed to see this, but you can see this visually too

Answer 13

3 simple rules for HA\[\]
bottom bigger than top; 0\[\]
bottom = top; leading coeffs\[\]
bottom smaller than top; divide out and toss the remainder

Answer 14

oops meant to write "denominator has higher rate of growth"

Answer 15

exactly, so what's the issue?

Answer 16

march 1984 SI edition of sports illustrated

Answer 17

swimsuit edition that is

Answer 18

just to butt in at the last minute, not sure calc is needed. it is pretty clear that
\[\frac{5}{x-3}\] is never 0 since a fraction is only 0 if the numerator is

Answer 19

it approaches zero though as x approaches infinity

Answer 20

k... thanks

Answer 21

now now, i think we might need calculus to determine this for us; lets see what leibniz and newton are up to these days :)

Answer 22

they'll fight to the death like they did 300 yrs ago...so idk if they'll be of much help lol

Answer 23

lol ... :)