Question

Find any vertical asymptots f(x) = 1 / |x-4|

Answer 1

Vertical asymptotes are points where the slope of a curve blows up to infinity, i.e., it's undefined.

You have a fraction there. What's so peculiar about fractions with variables in the denominator?

Answer 2

i think the teacher wants us to sketch this function.

Answer 3

Graph it point-wise or by inspection?

Also, hint: what would happen if x = 4?

Answer 4

i don't know, that's why i am posting this question.

Answer 5

\[f(x)=\frac{1}{|x-4|}=\frac{1}{|(4)-4|}=\frac{1}{0}?\]

Answer 6

Can you divide by zero?

Answer 7

no

Answer 8

There's your asymptote.

Answer 9

i think its a sketch , it would be like this..