Question

How to find the intercepts of a function?

Answer 1

I've been stuck on this problem for a while,

x-intercepts of f(x) = \[\frac{ x+7 }{ x^2+5x-3 }\]

Answer 2

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

Answer 3

How did you get -7?

Answer 4

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