Question

tate

Answer 1

The function is this?
\[\Large f(x) = \frac{x^2+4x-7}{x-7}\]
or something else?

Answer 2

@jim_thompson5910

Answer 3

what is the largest exponent in the numerator?

Answer 4

1

Answer 5

oh no i meant 2

Answer 6

it's 2

Answer 7

what is the largest exponent in the denominator?

hint: \(\Large x-7\) is the same as \(\Large x^1-7\)

Answer 8

1!

Answer 9

good

Answer 10

the largest exponent in the numerator is 2, so the degree of the numerator is 2.
the largest exponent in the denominator is 1, so the degree of the denominator is 1.

Answer 11

since

degree of numerator > degree of denominator

this means we do NOT have a horizontal asymptote. The asymptote will be slanted (aka an oblique asymptote)

http://2.bp.blogspot.com/-9uxn3U5jEz8/VC-TK4qZudI/AAAAAAAAAGc/zt-dgnMHBfw/s1600/Screen%2BShot%2B2014-10-03%2Bat%2B11.26.10%2BPM.png

Answer 12

so it would be "none"?

Answer 13

@jim_thompson5910

Answer 14

yes if it has an oblique asymptote, then it cannot have a horizontal asymptote at the same time (or vice versa)

Answer 15

oh thank you! Seriously this helps ALOT thank you so much. Can i tag you in two more please ?

Answer 16

sure