For graphs with asymptotes, does the gradient steadily decrease?

So when the graph gets closer and closer to the asymptote, will its gradient decrease?

depends on the asymptote, for y = 1/x , the gradient would increase as you get closer to x=0 and smaller as you get close to y=0.

Original post by YouMadBro!

depends on the asymptote, for y = 1/x , the gradient would increase as you get closer to x=0 and smaller as you get close to y=0.

Not entirely true as it depends which side you're approaching from. I.e. approaching

x=0

from

x<0

you get that the gradient decreases.
But yes, this is a counterexample to his post nevertheless.

Original post by dont know it

So when the graph gets closer and closer to the asymptote, will its gradient decrease?

Not generally.

Not entirely true as it depends which side you're approaching from. I.e. approaching

x=0

from

x<0

you get that the gradient decreases.
But yes, this is a counterexample to his post nevertheless.

Ah s***, yeah I should have made that more clear. Cheers!

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