Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6?

Question

whimsical · Answer

$$\frac{ 9x^2+9x-18 }{ 3x+6 }$$
is it this equation?

anonymous · Answer

yes @Whimsical

whimsical · Answer

$$\frac{ 9(x+2)(x-1) }{ 3(x+2) }$$
simplified the equation what do you get?

anonymous · Answer

3(x-1) ?

whimsical · Answer

yes and what kind of graph is that?

whimsical · Answer

are you doing okay or do you need more hints?

anonymous · Answer

is it a linear equation?

anonymous · Answer

i'm not sure what kind of graph it is

whimsical · Answer

yes, can you tell me what makes a straight line graph

anonymous · Answer

the coordinates can be easily placed with rise over run after the y-intercept is placed

whimsical · Answer

yes so the equations is:
y=mx+c
m= gradient
c= y-intercept

can you find m and c?
i got to go now, hope u can find the straight line graph equation,

whimsical · Answer

btw
3(x-1)=mx+c
in case you need more help

anonymous · Answer

m= 3x
y = -3

whimsical · Answer

u can sketch the graph now
|dw:1448110248789:dw|
and m = 3 not 3x

anonymous · Answer

oh, okay! I get it now! Thank you so much!

trojanpoem · Answer

f(-2) = 4*9 - 18 - 18/ 6- 6 = 0/0 (undefined) Your function is undefined as x = -2, so you simply draw an asymptote at that point. and the intercept of the asymptote and your line is a gap. See this: http://www.purplemath.com/modules/grphrtnl4.htm

welshfella · Answer

sometimes this is called a 'hole' in the graph