Find the intercepts and asymptotes, use limits to describe the behavior at the vertical asymptotes. (37 and 39)
1 answer:
39)
Its always best to factorise where you can, in most questions it tends to be a necessary step and even if its not, it usually makes things easier;
In this case, you can factorise the denominator:
To get y-intercept/s, set x = 0 and solve:
y-intercept: (0, 1/12)
To get x-intercept/s, set y = 0 and solve:
x-intercept: (1, 0)
To find the asymptotes, it is necessary for us to have factorised the denominator so its a good thing that I did so at the beginning;
To get the vertical asymptote/s, set the denominator equal to 0, then just rearrange to get x:
vertical asymptotes: x = 4 and x = -3
There are no horizontal asymptotes.
Its always best to factorise where you can, in most questions it tends to be a necessary step and even if its not, it usually makes things easier;
In this case, you can factorise the denominator:
To get y-intercept/s, set x = 0 and solve:
y-intercept: (0, 1/12)
To get x-intercept/s, set y = 0 and solve:
x-intercept: (1, 0)
To find the asymptotes, it is necessary for us to have factorised the denominator so its a good thing that I did so at the beginning;
To get the vertical asymptote/s, set the denominator equal to 0, then just rearrange to get x:
vertical asymptotes: x = 4 and x = -3
There are no horizontal asymptotes.
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