Question

Identify the asymptotes, removable discontinuities, and intercepts for the graph of each function.

1. z(x)=(x^2-7x-8) / (x^3+64)

confused ....

Answer 1

for number 1...factor out the numeratir and denominator

Answer 2

the thingy that you can cancel..that's the removable discontinuity

Answer 3

for asymptote look at your denominator...solve for x

Answer 4

the intercepts i think you know that already

Answer 5

(x+1)(x-8)/(x+4)(x^2-4x+16)

Answer 6

hmm weird...you cant cancel anything?

Answer 7

nope.. :(

Answer 8

so there's no removable discontinuity

Answer 9

oh ok cool

Answer 10

for the asymptote

solve for x in x^3 + 64 = 0

Answer 11

that will be the asymptote

Answer 12

i have to go now..hope you can proceed on the rest :)