Question

x^2-7x+4/x+3

Answer 1

give the equation of the oblique asymptote

Answer 2

please help

Answer 3

when x approaches 0 what happens to the value of 4/x?

Answer 4

what do you mean? dont you have to use synthetic division?

Answer 5

I'm pointing out that x=0 is where y goes to negative and positive infinity

Answer 6

notice that if you take out the 4/x the graph looks similar, save no spiking to negative and positive infinity.

Answer 7

when i tried calculating it out i got x-10 as the oblique is that correct?

Answer 8

divide, you will get a quotient and a remainder
ignore the remainder, the quotient is your oblique asympote

Answer 9

yes, \(y=x-10\) is right

Answer 10

thank you :)

Answer 11

yw
you did all the work!

Answer 12

youll notice that y=x-10 intersects with the graph, and therefore can't be an asymptote.