## gjhfdfg one year ago How to find the intercepts of a function?

1. gjhfdfg

I've been stuck on this problem for a while, x-intercepts of f(x) = $\frac{ x+7 }{ x^2+5x-3 }$

2. campbell_st

ok... to find the y intercept let x = 0 so y = -7/3 for the x intercept let y = 0 so x = -7 ( just look at the numerator) as 0 x anything = 0 the curve has vertical asymptotes... two and a hotizontal asymptote

3. gjhfdfg

How did you get -7?

4. campbell_st

well in a fraction the denominator can't be zero... only the numerator can be zero so to find the x intercept let y = 0 so you are solving x + 7 = 0 x = -7

5. Fgcbear16

|dw:1360353484729:dw|

6. Fgcbear16

the top will give you x-intercepts.

7. gjhfdfg

Got it,

8. campbell_st