! ! "!"#
1. The curve, 𝐶, is given as 𝑦 = !! "!$%. State any asymptotes. find the
range of 𝑦 and hence sketch the curve showing points of intersec<on.
2. Given the curves f(𝑥) = 𝑥 # + 𝑥 − 2 and g(𝑥) = 𝑥 # + 2𝑥 + 7, sketch
&
&
and
.
'(!)
*(!)
3. Given that f(𝑥) =
!!
,
!"+
sketch the curves 𝑦 = |f(𝑥)| and 𝑦 = f(|𝑥|).
4. By considering 𝑦 = √5 − 4𝑥, sketch the curve 𝑦 # = 5 − 4𝑥, sta<ng
any points of intersec<on with the coordinate axes.