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junior college 1 | H2 Maths
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junior college 1 chevron_right H2 Maths chevron_right Singapore

hii mind helping me with part ii. Thanks so much!

Date Posted: 4 years ago
Views: 298
Lim En Jie
Lim En Jie
4 years ago
Question is asking you to find the (non-vertical) asymptote of given curve.

To do so, you have to use Long division which will give you the following General Eqn:

f(x)= quotient + (remainder)/(divisor)

The quotient will be your asymptote Y=(?). Since numerator and denominator shares the same power of x, the asymptote should be a constant and not function of x.

Also can you provide the values next time so it’s easier for us to pick up from part II instead of doing from part i /:

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Boy Mow Chau
Boy Mow Chau's answer
317 answers (Tutor Details)
1st
answer for part (ii)

when the question says use algebraic method, it means need to rearrange the given equation as a quadratic equation in x, and find for what range of values of y does this quadratic equation not have any real roots.

since the question asks for exact values of y, we leave the answers in exact form, instead of changing to decimal values.
Boy Mow Chau
Boy Mow Chau
4 years ago
the question asks for the exact set of values of y, means answer should give in set notation form.

the answer 1 - sqrt(7)/4 < y < 1 + sqrt(7)/4 is in range form.

in set notation form, answer should be …
{ y E R : 1 - sqrt(7)/4 < y < 1 + sqrt(7)/4 }
where E is the symbol for "is a member of"
and R is the set of real numbers.