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junior college 1 | H2 Maths
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hii mind helping me with part ii. Thanks so much!
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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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.
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.