Question

of all the 8 parent functions, which ones have asymptotes? are they vertical or horizontal? how do you figure them out on a graph? Thank you:)

Answer 1

what 8 functions are you referring to?

you only have a vertical asymptote when there is zero in denominator
horizontal asymptotes occur if degree of numerator is less than or equal to degree of denominator

Answer 2

linear, quadratic, cubic, absolute value, square root, exponential, logarithmic, and reciprocal.

Answer 3

exponential --> horizontal
log --> vertical
reciprocal --> both

Answer 4

say you have 3/x+2, how would you find the asymptote?

Answer 5

*asymptotes

Answer 6

just set denominator equal to 0

x+2 = 0
x = -2

vertical asymptote at x=-2

Answer 7

For horizontal asymptotes:

degree on top greater --> No asymptote exists
degree the same --> asymptote is ratio of leading coefficients
degree on bottom greater --> asymptote is y=0

so for 3/(x+2) , degree on bottom is greater
horizontal asymptote is y=0

Answer 8

Thank you!