y=3x/x^2+9 list the intercepts. let me guess my y intercept is 0?

Question

anonymous · Answer

X -> (-1/3, 0)
Y -> None

anonymous · Answer

is this 3x Divided y x^2+9?

dumbcow · Answer

i disagree
y-intercept is (0,0) because y = 3*0/0+9 = 0
x intercept is also (0,0) because 0= 3x/x^2+9, 3*0 = 0

anonymous · Answer

truee dumbcow the intercept will be when 3x =0

anonymous · Answer

this is y= 3x divided by x^2+9

anonymous · Answer

when in doubt use calculator haa

anonymous · Answer

yes because your intercept for x will be when y = 0

anonymous · Answer

and the polynomial you are evaluating this will be 0 when the numerator = 0 which is 3x=0 

now for y intercepts just solve for when x=0 which will also get you 0

anonymous · Answer

i agree with pk I don't think the function given is a polynomial it seems more like a rational function

dumbcow · Answer

it is a rational function

anonymous · Answer

Exactly!!!
$$y = (3x/x ^{2}) + 9$$

anonymous · Answer

yeah so it doesn't cross the y - axis but intercepts the x - axis at (-1/3,0)

anonymous · Answer

y-axis is an asymptope

dumbcow · Answer

$$y = \frac{3x}{x^{2}+9}$$

dumbcow · Answer

you misread the question
..use parenthesis people

anonymous · Answer

oh wow okay that's how you see the equation: I solved it as y =  3/x + 9