Question

Vertical asymptotes occur at x values where a function is not defined. Explain why it makes sense that y=1x has a vertical asymptote at x=0.

Answer 1

\(\bf y=1x?\)

Answer 2

y=1/x

Answer 3

well, what do you think? \(\bf \cfrac{1}{{\color{brown}{ x}}}\qquad {\color{brown}{ x}}=0\implies \cfrac{1}{{\color{brown}{ 0}}}\)

does it make sense it has a vertical asymptote?

Answer 4

oh ok i get it

Answer 5

thx

Answer 6

yw