Question

Identify the asymptotes of the graph of the function. Then Graph the function???
f(x)=1/x-5

Answer 1

@dumbcow @ganeshie8 @SolomonZelman

Answer 2

@Clueless_math @amistre64

Answer 3

vertical asymtote=5

Answer 4

@eric_d how did you get the answer?

Answer 5

x-5=0

Answer 6

@eric_d could you explain a little more? like step by step?

Answer 7

http://www.purplemath.com/modules/asymtote.htm

Answer 8

division by zero is undefined ...

Answer 9

@amistre64 wait I don't get it?

Answer 10

how does your material define an asymptote?

Answer 11

@amistre64 a line is an asymptote of a graph if the graph gets closer to the line as x or y gets larger in absolute value.

Answer 12

for oblique and horizontal asymptotes, that definition is not accurate since a graph can cross these types of asymptotes but rather even out to one side for larger values

Answer 13

@amistre64 okay..

Answer 14

oblique and horizontal asymps describe 'end' behaviour.

whereas vertical asymps define midrange behaviours and usually end up blowing up towards infinity.

\[\frac{1}{x-5}\]
this has 1 vertical asymptote since /0, dividing by 0, has no value and that occurs when x-5=0

it has 1 horizontal asymptote when x is huge .... 1/HUGE is a very very small fraction. imagine if you had a cake that was sliced up into 1,000,000 pieces. and you got 1 slice. youd have practically no cake at all. As the number of slices increases ... the amount of cake you get tends to practically zero.