CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 1 · Question Q10
The point (1, 1) lies on the curve y = f(x). Under which of the following transformations is (1, 1) invariant?
\begin{align*}
\text{I.} & \quad y = f^{-1}(x) \\
\text{II.} & \quad y = f(-x) \\
\text{III.} & \quad y = |f(x)| \\
\text{IV.} & \quad y = 2f(x) - 1
\end{align*}
- (A)I and III only
- (B)III and IV only
- (C)I, II and III only
- (D)I, III and IV only
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